HHSH 


TABLES 


PARTHENOPE, 


K  .    H  C  1-1  U  B  "JE  H  T 


COMl'UTKU    l'«)K    THK 


AMERICAN  EPHEMKRIS  AND  NAUTICAL  ALMANAC. 


BUREAU   OF    NAVIGATION. 

WASHINGTON. 

1 871. 


University  of  California. 


C7 


TABLES 


OF 


PARTHENOPE, 


BY 


E.    SCHUBERT. 


COMPUTED  FOll  THE 


AMERICAN  EPHEMERIS  AND  NAUTICAL  ALMANAC. 


(UttlVERSITr) 


BUREAU   OF  NAVIGATION, 

WASHINGTON. 

1871. 


GOVERNMENT    PRINTING    OFFlCli. 


/\ 

((UNIVERSITY)) 

.-  ^-  / 

INTRODUCTION. 

TN  the  construction  of  these  Tables  some  twenty  of  the  smaller  terms  of  the  perturbations  by  Jupiter  and 
Saturn,  published  in  No.  1761  of  the  "  Astronomische  Nachrichtcn,"  have  been  omitted,  since  the  effect 
of  them  upon  the  final  result  is  almost  everywhere  nearly  zero. 

Denoting  the  arguments  in  the  following  manner:  — 

1=            _     M'                         XI  =                —     M"                  XXI  =       3M  —  4M' 
11=    2M—3M'                        XII  =           M-       M"                XXII  =       2M—5M' 
111=       M—3M'                      XIII  =       2M  —     M"               XXIII  =           M—  6  M' 
IV  =       M—     M'                      XIV  =           M—2M"               XXIV  =       3M—5M' 
V=       M—  2M>                       XV  =  —     M—3M'                 XXV  =       4M—  5  If  ' 
VI  =    2  M  -       M'                      XVI  =       4  M—  3  M'                XXVI  =           M  —  5  M' 
VII  =    3  M—2  M'                     XVII  =  —  2  M  —  3  M'               XXVII  =  —  2  M  -       M' 
VIII  =  —  M  -       M'                   XVIII  =  -       M—2M'             XXVIII  =       5M—2M' 
IX  =       M                                     XIX  =           M—  47tf'                XXIX  =       411-       I/' 
X=    3711-       M'                       XX  =       5M—  331'                 XXX  =  -       M-       M" 

The  perturbations  by  Jupiter  and  Saturn,  retained  for  the  construction  of  the  Tables,  in  units  of  the 
sixth  decimal  are  :  — 

fi 

» 

fi 

cos 

sin 

cos 

sin 

cos 

sin 

0  M  . 

-  16.08t 

-  134.23t 

+    4.22t 

1  M 

-    0.75t 

+    69.97t 

-    87.87t 

-    1.33t 

-  28.27t 

+    0.79* 

2  .V 

+    5.25t 

+    51  .COt 

-    51.92t 

+    5.23* 

-    1.40t 

+    0.04* 

3  M 

+    0.78t 

+       7.72t 

-      7.44t 

+    0.78t 

-    O.lOt 

4  M 

+     O.lOt 

+      0.06t 

-      0.96< 

+     O.lOt 

-    0.01  1 

5  M 

+    O.Olt 

+      0.12t 

-      O.llt 

+     O.Olt 

1 

+  607.1 

+    924.2 

+    933.1 

-  600.5 

+    20.6 

14.8 

2  I 

+  694.5 

-  1272.7 

-  1269.2 

-  690.7 

-     15.3 

-     12.3 

3  I 

-3832.4 

-15443.2 

-15398.8 

+3818.4 

-     27.3 

+     11.5 

4  I 

+      1.1 

-      10.8 

-      10.8 

-       1.1 

5  I 

0.0 

2.3 

2.3 

0.0 

6  1 

+      1.4 

+        6.7 

+        6.7 

-      1.3 

II 

+3682.2 

+14639.1 

-14575.4 

+3198.5 

-    63.8 

-  342.7 

2  II 

+    16.3 

-      11.0 

+      17.0 

+      7.2 

III 

-3783.1 

-  3604.8 

-  3648.8 

+3783.2 

+     18.4 

+     45.3 

2  III 

-    41.8 

+      23.4 

+      25.1 

+     30.9 

J 

i 

'/ 

i 

J 

i 

cos 

sin 

cos 

sin 

cos 

sin 

IV 

+    22.9 

-  108.6 

+  124.0 

+     31.6 

-     3.0 

+     7.7 

2  IV 

-  434.5 

+  774.0 

-  739.0 

-  412.4 

+     4.5 

-    0.9 

3  IV 

+1576.5 

+2644.5 

-2641.9 

+1568.3 

-    2.7 

-  17.3 

4  IV 

-      7.0 

+    18.8 

•     17.7 

-     10.2 

5  IV 

-      0.7 

+       2.5 

-      0.9 

-      1.1 

V 

+  620.1 

-1521.7 

-1532.5 

—  555.5 

+  38.5 

+  17.5 

2V 

+    24.3 

-    67.9 

-    87.3 

-      5.5 

+    8.5 

+     4.0 

3V 

+      4.0 

-    66.7 

+    55.3 

+      2.6 

-    4.9 

1.2 

4  V 

-      1.3 

-      0.5 

VI 

-  280.9 

-  444.6 

+  442.2 

-  279.2 

+    9.0 

-    6.3 

2  VI 

-    29.7 

+    73.6 

-    73.4 

-     296 

3  VI 

+      2.8 

+      5.2 

-      5.2 

+      2.8 

VII 

-  195.3 

+  466.6 

-  464  .e  • 

-  194.5 

+    26 

+    0.8 

2  VII 

-      0.9 

-      0.9 

VIII 

+    24.6 

+  152.2 

+  151.6 

-    24.9 

+     7.9 

-    0.6 

2  VIII 

+      3.5 

-    10.8 

-    10.8 

-      3.5 

3  VIII 

-      4.5 

-    19.3 

-    19.2 

+      4.6 

OIX 

-      3.8 

+     10.7 

+     1.1 

]  IX 

+  170.0 

-      0.6 

-      1.0 

+  159.7 

+    9.1 

2  IX 

+    16.4 

7.1 

+      7.0 

+    16.3 

+     1.4 

3  IX 

-      0.9 

+      0.9 

X 

-    37.1 

-    61.7 

+    61.5 

-    37.0 

2X 

-      0.5 

+      1.2 

-      1.2 

-      0.5 

XI 

-    29.8 

+    29.5 

+    33.2 

+    35.7 

2X1 

+    48.2 

+    48.2 

3X1 

+      2.5 

+    13.0 

+    13.0 

-      2.9 

XII 

+      3.8 

+      9.0 

-    10.6 

+      2.8 

2  XII 

-    19.9 

+    20.0 

3  XII 

0.8 

-      2.5 

+      2.5 

-      0.7 

XIII 

+    12.8 

-    11.1 

+    11.0 

+     12.8 

. 

2  XIII 

-      1.1 

+      1.1 

XIV 

+      4.3 

+    22.1 

+    23.1 

+      1.7 

2  XIV 

-      0.9 

-      0.6 

+      0.8 

XV 

-  368.2 

-1501.3 

-1498.5 

+  367.3 

1.4 

+    0.6 

XVI 

+  196.2 

+  346.7 

-  346.6 

+  195.8 

XVII 

-    40.6 

-  166.2 

-  166.0 

+    40.5 

XVIII 

+    39.7 

-  105.2 

-  105.2 

-    39.8 

-    0.8 

-     1.0 

* 

m 

fi 

cos 

sin 

cos 

sin 

cos 

sin 

XIX 

+101.9 

-  59.8 

_ 

62.3 

-100.0 

-  1.8 

-  1.3 

XX 

+  22.4 

+  42.4 

- 

42.0 

+  22.1 

XXI 

-  13.3 

+  52.7 

+ 

1.4 

-  73.2 

+  4.3 

-  4.0 

XXII 

-  26.2 

-  15.6 

- 

17.9 

+  25.7 

XXIII 

-     5.7 

+  67.9 

+ 

67.4 

+    6.7 

- 

XXIV 

+  16.6 

+     7.2 

- 

19.8 

-  17.0 

-  0.9 

-  3.5 

XXV 

+     5.4 

+  1  6.7 

+ 

5.4 

+    7.4 

+  1.1 

XXVI 

-     1.0 

-  22.8 

- 

22.8 

+     l.'l 

XXVII 

+     1.3 

+  16.8 

+ 

16.9 

-     1.2 

XXVIII 

-     4.0 

+  10.2 

- 

9.9 

-    3.9 

XXIX 

-     4.7 

-    7.8 

+     7.9 

-    4.7 

XXX 

-     5.3 

-    6.1 

- 

5.9 

+    5.4 

Normals  referred  to  the  mean  equinox  1850.0. 

Berlin  M.  T.                           a 

t 

Berlin  M.  T. 

a 

i 

1850  May             31.0            225  57 

3& 

O        1          II 

-  9  48  27.9 

1859  December      2.0 

o     /        // 
67  40    6.8 

O        1           II 

+15  31     7.3 

1851   October      22.0               28  46 

48.3 

+  3  20  40.6 

1861  March            13.0 

172  44  43.7 

+  8  55  54.5 

1853  February       7.0              141  50 

9.9 

+16  50  37.7 

1862  July               26.0 

306  21   31.2 

-19    3  26.1 

1854  June              3.0            252  46 

36.7 

-16     0  53.0 

1863  December      8.0 

88  56  39.5 

+18  36  38.2 

1855  November    9.0               49  49 

12.4 

+10  32  47.2 

1865  M 

arch       '     28.0 

189    4  52.7 

+  3  18  58.3 

1857  February    20.0              158   10 

19.5 

+12  58     7.7 

1866  August          24.0 

334  30  24.6 

-14  35     2.7 

1858  June            18.0            281   16 

13.4 

-18  50  29.8 

1868  January          3.0 

103  56  14.8 

+20     3     8.3 

Elements. 

1850,  Jan.  0,  Washington  Mean  Time. 

M  =  250  52 
-  =  316  46 

£  =  124  58 
i  =      4  37 

it 

17.3 
46.3 
43.9 
32.1 

|  M.  Eq.  Ep. 

0            /            // 

<f  =      5  45  40.4 
,,.  =    923".8703 
log  a  =      0.389597 

Example  for  confuting  a  Place  from  the  Tables. 

1870,  September  20.5,  Berlin  M.  T.  =  September  20,  51'  58m  15s  Washington  M.  T. 

In  the  first  place  we  have  to  write 

clown  the  constants  to  be 

used  :  — 

lo, 

?« 

1- 

o  1  _ 

-  e 

log? 

From  Table  II.,                 9.001660 

9.912513 

0.385199 

cos  (z,  z)                  rns  (;/[  T)                   cos  (Zi  x) 

From  Table  V.,                  9.864213             9.831649             8.818516 

cos  (XL  y)                  cos  (y,  y) 
9.791508W             9.845887 

cos  (z,  y)                cos  (z,  z)                 cos  (y,  z) 

9.549  111»          9.457092n          9.339004 

COS   (Zi  I) 

9.969831 

And  from  Table  VI., 

./!/=  mean  anomaly  ;  t  =  time  since  1850.0. 

From  Table  I.,              M  t 

1870    325  33  29.84  +20.0000 

September       62  21  40.48  0.6653 

5    7  57.40  0.0548 

3  12.47  0.0006 
37.21 
0.16 


A<  B<  C' 

a        I         II  a         I         II  o        /         // 

47    8  45.9    318  31  39.4     307  18  16.4 


log  sin  a         log  sin  4 

9.999056     9.970910     9.556492 


20  days 

5  hours 

58  minutes 

15  seconds 


cot  J  M 

—  cot  4  M  =  cot  A  »' 
1  +  e 


33     6  57.56     -f  20.7207 


16  33  28.8 
19  59     4.8 

v'       39  58     9.6 
From  Table  II.  c  +         16  51.6 
v       40     7     1.2 
cos  v 
e  cos  v 
1  +  e  cos  v 
r 


+  0.076766 
1.076766 


0.526783 
0.439296 


9.883508 
8.885168 
0.032121 
0.353078 


Formation  of  the  Arguments  from  Table  III.* 


1870    .     . 
September 

21)  days     . 
(>  IIOIITH     . 


1870  .  . 
September 
SO  days  . 


1870  .  . 
September 
20  days  . 


1. 

324.734 
339.814 
358.338 
35!).979 


302.8G5 

XI. 

191.6 
351.9 
359.3 


182.8 

XXI. 

116 

106 
9 


231 


II. 

185.318 

64.152 

5.280 

0.066 


254.816 

XII. 

157.2 

54.2 

4.5 


215.9 

XXII. 

115 

24 

2 


141 


III. 

219.760 
1.796 
0.148 
0.002 


221.706 

XIII. 
122.8 
116.6 
9.6 


249.0 

XXIII. 
114 
301 
355 


IV. 

290.202 

42.158 

3.470 

0.043 


335.963 

XIV. 

348.8 

46.1 

3.8 


38.7 

XXIV. 

80 
86 

7 


173 


V. 

255.03 

21.99 

1.81 

0.02 


278.85 

XV. 

288.6 
237.0 
349.9 


155.5 

XXV. 

46 

148 

12 


206 


VI. 
356.86 

104.54 
8.60 
0.11 


9.10 

XVI. 

116.4 

188.9 

15.5 


320.8 

XXVI. 

149 
321 
357 


107 


VII. 

186.14 

146.70 

12.07 

0.15 


345.06 

XVII. 
323.1 

174.7 
344.8 


122.6 

XXVII 

34 
215 
348 


237 


VIII. 

359.17 

277.45 

353.20 

359.92 


269.74 

XVIII. 

323.9 
257.2 
351.6 


212.7 

XXVIII. 

117 

271 

22 


50 


IX. 

32."..56 

62.34 

5.13 

6.06 


33.09 

XIX. 

184.5 
341.6 
358.5 


164.6 

XXIX. 

187 

229 

19 


75 


X. 

221.41 

166.89 

13.74 

0.17 


42.21 

XX. 

82.0 

251.2 

20.7 


353.9 

XXX. 

226 
289 
354 


149 


*  Tlie  arguments  being  expressed  in  degrees  and  decimals,  360.0,  720.0,  or  1080.0  must  be  subtracted  wlien  one  of  ibc 
sums  is  greater  tlian  one  of  tbose  numbers. 


f 

ri1 

P 

Terms  with  t 

1632.8 

- 

+ 

4372.1 

+ 

404.5 

cos  (xi  x)  f              -  3188.2 

1 

6515.5 

15112.1 

16829.6 

66.3 

cos  (;/,  x)  r,1              +  8842.8 

II 

718.2  • 

347.5 

cos  (Zj  x)  (,'              -         1.4 

III 

5241.2 

237.5 

44.0 

f              +  5653.2 

IV 

2851.1 

2379.5 

13.4 

cos  (xi  y)  f              +  2696.7 

V 

1533.8 

375.5 

19.3 

cos  («!  «)  17'              +  9137.5 

VI 

347.5 

310.8 

7.7 

cos  (ZL  T/)  f              +         7.6 

VII 

onu  n 

399  3 

vni 

ouo.u 
175.0 

39.4 

n             +11841.8 

IX 

137.3 

114.7 

7.2 

cos  (xl  z)  f             +  1248.6 

X 

67.6 

20.0 

cos  (I/,  z)  17'              +  2844.1 

XI 

28.8 

0.4 

cos  (zi  z)  ('             -      20.2 

XII 

25.0 

14.4 

f            +  4072.5 

XIII 

5.0 

16.6 

sin   (^'  +  r)          87  lij  4?''l        9.999505 

XIV 

16.4 

19.8 

T  sin  a                                    0.352134 

XV 

288.3 

1513.8 

1.5 

x                                 0.351639 

XVI 

(T    ff 

QOO  Q 

._ 

XVII 

119.0 

122.7 

sin  (B>  +  r)        358  41  40.6        8.357580n 

XVIII 

23.9 

109.7 

1.2 

r  sin  4                                    0.323988 

XIX 

113.5 

34.1 

1.4 

y                                   8.681568n 

XX 

XXI 

17.9 

32.6 

56.0 

44.0 

sin  (C'  +  r)        347  25  17.6       9.338011n 

XXII 

10.0 

30.2 

T  sin  c                                   9.909570 

XXIII 

48.3 

48.4 

z                                  9.247581  n 

XXIV 

15.6 

17.9 

XXV 

12.4 

8.2 

y         -  0.048036 

XXVI 

21.5 

7.7 

17         +       11842 

XXVII 

12.8 

8.1 

F         +  0.036089 

XXVIII 

5.6 

9.0 

A  cos  6<  sin  a'          -  0.000105       €.02118971 

XXIX 

8.6 

2.6 

z         +  2.247185 

XXX 

1.5 

7.6 

f         +         5653 

f,   n1,   ? 

15218.0 

-43 

19576.3 
)8.3 

20645.0 
+  130 

7615.1 

29.9 

446.2 

-s 

467.8 
1.6 

X         -  1.002746 
A  cos  6>  cos  a'          +  1  .250092        0.096942 

Reduction  to  the 

apparent  equinox. 

cos  a'                                   0.000000 
o      /      // 
tan  a'        359  59  42.7        5.924247™ 

/      +  1^88 

z         -  0.176840 

g                          0.9036 

C         +         4072 

G         ]§     -j 

Z         +  0.015661 

sin  (G  +  a')         13     9          9.3570 
tan  6'                           9.0993n 

A  sin  (!'          -  0.157107        9.1961  96n 

-    0.23          !l359lT 

A  cos  y                                 0.096942 

A  a'       +17.65 

cos  6'                                 9.996597 

cos  (G  +  a')                            9.9885 

tan  &>        -  7    'J  47.4       9.099254* 

A  y       +    7.80          0.8921 

A                                  0.100345 

a  =    0     (j     0"3 

(J  =-7    9  39.6 

«'  and  (5'  are  referred  to  the  mean  equinox  1870.0 

TABLE   I. 

FOR  THE  MEAN  ANOMALY. 

For  Washington  mean  noon  of  Jan.  0  in  common  years,  of  Jan.  1  in  bissextile  years. 

.  Years. 

M 

* 

t 

Years. 

M 

t 

IBM 

25o  52  n'lso 

0.0000 

1876  B 

168    5  33.'54 

+  26.0014 

1H51 

344  32  29.96 

+   0.9993 

1877 

261  45  46.20 

27.0007 

1  -:>•>  B 

78  28    6.49 

2.0014 

1878 

355  25  58.86 

28.0000 

1853 

172    8  19.15 

3.0007 

1879 

89    6  11.52 

383993 

1854 

265  48  31.81 

4.0000 

1880-B 

183     1  48.1).") 

30.0014 

1855 

359  28  44.47 

4.9993 

1881 

276  42    0.7  1' 

31.0007 

1856  B 

93  24  21.00 

6.0014 

1882 

_  10  22  13.37 

32.0000 

)857 

187    4  33.66 

7.0007 

1883 

104     2  26.03 

33.9993 

I  B6H 

280  44  46.32 

8.0000 

1884  B 

197  58    2.56 

34.0014 

1859 

14  24  58.98 

8.9993 

1885 

291  38  15.22 

35.0007 

1860  B 

108  20  35.51 

10.0014 

1886 

25  18  27.88 

36.0000 

1861 

202    0  48.17 

11.0007 

«      1887 

118  58  40.53 

36.9993 

1862 

295  41     0.82 

12.0000 

1888  B 

212  54  17.06 

38.0014 

1863 

29  21   13.48 

12.9993 

1889 

306  34  29.72 

39.0007 

1864B 

123  16  50.01 

14.0014 

1890 

40  14  42.38 

40.0000 

1865 

216  57    2.67 

15.0007 

1891 

133  54  55.04 

40.9993 

1866 

310  37  15.33 

16.0000 

1892B 

227  50  31.57 

42.0014 

1867 

44  17  28.00 

16.9993 

1893 

321  30  44.23 

43.0007 

1868  J? 

138  13    4.52 

18.0014 

1894 

55  10  56.89 

44.0000' 

1869 

231  53  17.18 

19.0007 

1895 

148  51     9.55 

44.9993 

1870 

325  33  29.84 

20.0000 

1896B 

242  46  46.08 

46.0014 

1871 

59  13  42.50 

20.9993 

1897 

336  26  58.74 

47.0007 

1872B 

153    9  19.03 

22.0014 

1898 

70     7  11.40 

48.0000 

1873 

246  49  31.69 

23.0007 

1899 

163  47  24.C6 

48.9893 

1874 

340  29  44.35 

24.0000 

1900  B 

257  43     0.59 

+  50.0014 

1875 

74     9  57.01 

+  24.9993 

Months. 

M 

t 

Days. 

Jtf 

t 

January 

0          I           It 

0     0     0.00 

0.0000 

1 

0  15  23.87 

+   0.0027 

February 

7  57  19.98 

+   0.0849 

2 

0  30  47.74 

0.0055 

M  arch 

15    8  28.35 

0.1615 

3 

0  46  11.61 

0.0082 

April 

23    5  48.33 

0.2464 

4 

1     1  35.48 

0.0109 

May 

30  47  44.44 

0.3286 

5 

1  16  59.35 

0.0137 

June 

38  45    4.41 

0.4134 

6 

1  32  23.22 

0.0164 

July 

46  27    0.52 

0.4956 

7 

1  47  47.09 

0.0192 

August 

54  24  20.50 

0.5805 

8 

2     3  10.96 

0.0219 

September 

62  21  40.48 

0.6653 

9 

2  18  34.83 

0.0246 

October 

70    3  36.59 

0.7475 

10 

2  33  58.70 

0.0274 

November 

78    0  56.57 

0.8324 

90 

5    7  57.40 

0.0548 

December 

85  42  52.68 

+   0.9145 

30 

7  41  56.10 

+    0.0821 

In  Bissextile  Years  one  day  must  be  subtracted  from  the  date  in  the  first  two  months. 

TABLE    I.—  Concluded. 

FOR  THE   MEAN  ANOMALY. 

Tin-  liini-s  are  referred  to  the  meridian  of  Washington. 

Hours. 

.W 

t 

Hours. 

Jtf 

t 

1 

/      /' 
0  38.49 

+0.0001 

13 

/    .  ii 
8  20.43 

+  0.0015 

2 

1  16.99 

0.0002 

14 

8  58.92 

0.0016 

:i 

1   .-,.-,.43 

0.0003 

15 

9  37.42 

0.0017 

4 

2  33.9H 

0.0005 

16 

10  15.91 

0.0018 

5 

3  12.47 

0.0006 

17 

10  54.41 

0.0019 

6 

3  50.97 

0.0007 

18 

11  32.90 

0.0021 

7 

4  29,46 

0.0008 

19 

12  11.40 

0.0022 

8 

r,     7.96 

0.0009 

20 

12  49.89 

0.0023 

9 

5  46.45 

0.0010 

21 

13  28.39 

0.0024 

10 

6  24.94 

0.0011 

22 

14     6.88 

0.0025 

11 

7     3.44 

0.0013 

23 

14  45.37 

0.0026 

ia 

7  41.93 

+0.0014 

24 

15  23.87 

+  0.0027 

M 

M 

For  Minutes. 

For  Seconds. 

For  Minutes. 

For  Seconds. 

i 

f 
0.64 

It 

0.01 

31 

/ 
19.89 

// 
0.33 

a 

1.28 

0.02 

32 

20.53 

0.34 

:s 

1.92 

0.03 

33 

21.17 

0.35 

4 

2.57 

0.04 

34 

21.81 

0.36 

5 

331 

0.05 

35 

22.45 

0.37 

(i 

3.85 

0.06 

36 

23.10 

0.38 

7 

4.49 

0.07 

37 

23.74 

0.40 

H 

5.13 

0.09 

38 

24.38 

0.41 

9 

5.77 

0.10 

39 

25.02 

0.42 

10 

6.42 

0.11 

40 

25.66 

0.43 

11 

7.06 

0.12 

41 

26.30 

0.44 

12 

7.70 

0.13 

42 

26.95 

0.45 

13 

8.34 

0.14 

43 

27.59 

0.46 

14 

8.98 

0.15 

44 

28.23 

0.47 

15 

9.62 

0.16 

45 

28.87 

0.48 

16 

10.27 

0.17 

46 

29.51 

0.49 

17 

10.91 

0.18 

47 

30.15 

0.50 

18 

11.55 

0.19 

48 

30.80 

0.51 

19 

18.19 

0.20 

49 

31.44 

0.52 

20 

12.83 

0.21 

50 

32.08 

0.53 

91 

13.47 

0.22 

51 

32.72 

0.55 

yi) 

14.11 

0.24 

52 

33.36 

0.56 

33 

14.76 

0.25 

53 

34.00 

0.57 

04 

15.40 

0.26 

54 

34.64 

0.58 

25 

16.04 

0.27 

55 

35.29 

0.59 

06 

16.68 

0.28 

56 

35.93 

0.60 

27 

17.32 

0.29 

57 

36.57 

0.61 

'&> 

17.96 

0.30 

58 

37.21 

0.62 

29 

18.61 

0.31 

59 

37.85 

0.63 

30 

19.25 

0.32 

60 

38.49 

0.64 

10 


TABLE    II. 

FOR  THE  CORRECTION  c  TO  BE  ADDED  TO  THE  AUXILIARY  ANOMALY  »•'. 

Argument  =  M.     For  M  >  180°  the  Argument  is  360°  —  .V,  ;md  the  sign  of  c  to  he  reversed. 

Arg. 

c 

Diff. 

Arg. 

c 

Diff. 

Arg. 

c 

Diff. 

Arg. 

c 

Diff. 

O 

i       n 

n 

o 

i       ii 

ii 

0 

i      n 

n 

o 

i       ii 

ii 

0 

0     0.0 

45 

+  s   52.2 

90 

-  2    16.3 

135 

-  s,     7.4 

1 

+  0  22.3 

+22.3 

46 

8   47.1 

-  5.1 

91 

•>  33.2 

-16.9 

136 

8     4.1 

+  3.3 

2 

0  44.G 

22.3 

47 

8  41.3 

5.8 

93 

2  49.8 

16.6 

137 

8     0.3 

3.8 

92.3 

6.6 

16  3 

3 

1      G.9 

48 

8  34.7 

93 

3     G.I 

138 

7   56.1 

4.2 

4 

1   29.0 

22.1 

49 

8  27.4 

7.3 

94 

3   22.2 

10.1 

139 

7   51.4 

4.7 

5 

1    50.9 

21.9 

50 

8   19.4 

8.0 

96 

3   37.9 

15.7 

MO 

7   46.:! 

5.1 

6 

2   12.7 

21.8 

61 

8  10.7 

8.7 

9G 

3  53.3 

15.4 

III 

7  40.7 

5.1. 

7 

2  34.2 

21.5 

53 

8     1.3 

9.4 

97 

4     8.4 

15.1 

7   34.7 

6.0 

S 

2  55.5 

21.3 

53 

7   51.3 

10.0 

98 

4  23.2 

14.8 

143 

7   2S  3 

c.  i 

9 

3   16.5 

21.0 

54 

7   40.7 

10.6 

99 

4   37.5 

14.3 

144 

7  21.4 

8.1 

10 

3   37.1 

20.6 
20.2 

55 

7  29.4 

11.3 
1  1.8 

100 

4   51.5 

14.0 

n  7 

145 

7   14.1 

7.3 

11 

3   57.3 

66 

7   17.6 

101 

5     5.2 

1  0.  1 

146 

7     6.4 

7.7 

12 
13 
14 

4    17.1 
4   36.5 
4   55.4 

19.8 

111.4 
18.9 

57 
58 
59 

7     5.2 
6  52.3 
6  38.9 

12.4 
12.9 
13.4 

102 
103 

104 

5   1S.4 
5   31.2 
5  43.5 

13.2 
12.8 
12.3 

147 
148 
149 

G  58.4 
G  49.9 
G  41.1 

8.0 

8.8 

15 

5   13.9 

18.5 

17  Q 

GO 

G  25.0 

13.9 

105 

5  55.5 

12.0 

150 

G  31.9 

9.2 

16 

5  31.8 

l  /.a 

nn 

61 

G   10.6 

14.4 

106 

G     7.0 

11.5 

151 

6  22.3 

9.6 

17 

5  49.1 

.J 

62 

5  55.7 

14.9 

107 

G   18.0 

11.0 

152 

6   12.4 

9.9 

18 

6     5.8 

16.7 

lot 

63 

5  40.5 

15.2 

108 

G  28.6 

10.6 

153 

G     2.2 

10.2 

19 

6  21.9 

10.1 

04 

5  24.9 

15.6 

109 

6  38.8 

10.2 

154 

5  51.  G 

10.6 

20 

6  37.3 

15.4 

G5 

5     8.9 

16.0 

110 

6  48.4 

9.6 

I.V, 

5  40.8 

10.8 

21 

G  52.1 

14.8 

GG 

4  52.5 

16.4 

111 

6  57.G 

9.2 

15G 

5  29.6 

11.2 

22 
23 

7     G.2 
7   19.6 

14.1 
13.4 

67 
68 

4  35.9 
4   19.0 

16.6 
16.9 

112 
113 

7     6.3 
7   14.5 

8.7 
8.2 

157 

158 

5   18.1 
5     G.4 

11.5 
11.7 

24 

7  32.3 

12.7 

UQ 

69 

4     1.8 

17.2 

114 

7  22.2 

7.7 

159 

4   54.3 

12.1 

25 

7  44.2 

•X 

nl 

70 

3  44.3 

17.5 

116 

7  29.4 

7.2 

160 

4    42.0 

12.3 

2G 

7  55.3 

.1 

hit 

71 

3  26.7 

17.6 

116 

7  36.1 

6.7 

161 

4   29.5 

12.5 

27 

8     5.7 

V9A 
Q  fi 

72 

3     8.8 

17.9 

117 

7  42.4 

6.3 

1G2 

4   16.7 

12.8 

28 

8   15.3 

V.O 

Q    o 

73 

2  50.8 

18.0 

118 

7  48.1 

5.7 

163 

4     3.7 

13.0 

29 

8  24.1 

D.0 

7  9 

74 

2  32.7 

18.1 

119 

7  53.3 

5.2 

164 

3  50.5 

13.2 

30 

8  32.0 

75 

2  14.5 

18.2 

120 

7  58.0 

4.7 

1G5 

3  37.1 

13.4 

31 

8  39.2 

7.2 

76 

1   56.1 

18.4 

121 

8     2.1 

4.1 

166 

3   23.5 

13.6 

32 

8  45.5 

6.3 

77 

1   37.8 

18.3 

122 

8     5.8 

3.7 

167 

3     9.7 

13.8 

33 

8  51.0 

5.5 

78 

1    19.3 

18.5 

123 

8     8.9 

3.1 

168 

2  55.7 

14.0 

34 

8  55.6 

4.6 

T  Q 

79 

1     0.9 

18.4 

124 

8  11.6 

2.7 

169 

2  41.G 

14.1 

35 

8  59.5 

o.a 

80 

0  42.5 

18.4 

185 

8  13.7 

2.1 

170 

2  27.4 

14.2 

3G 

9     2.5 

3.0 
21 

81 

0  24.1 

18.4 

126 

8  15.3 

1.6 

171 

2  13.0 

14.4 

37 

9     4.G 

.1 

82 

+  0     5.7 

18.4 

127 

8   1G.4 

1.1 

172 

14.6 

38 
39 

9     5.9 
9     6.4 

1.3 
+  0.5 

83 
84 

-  0   12.5 
0  30.6 

18.2 

18.1 

128 
129 

8  17.0 
8  17.2 

0.6 
-  0.2 

173 

171 

1   43.9 
1  29.3 

14.6 
14.6 

40 

9     6.0 

1      j 

85 

0  48.7 

18.1 

130 

8  16.8 

+  0.4 

I7r> 

1    14.5 

14.8 

41 

9     4.9 

1.1 

2  0 

8G 

1     6.G 

17.9 

131 

8  15.9 

0.9 

176 

0   59.7 

14.8 

42 

9     2.9 

o  o 

87 

1   24.3 

17.7 

132 

8  14.5 

1.4 

177 

0   44.8 

14.9 

43 

9     0.1 

3K 

88 

1   41.8 

17.5 

133 

8  12.6 

1.9 

ITS 

0   29.9 

14.9 

44 

8  56.6 

.J 

89 

1   59.2 

17.4 

134 

8  10.3 

2.3 

179 

-  0    14.9 

15.0 

45 

8  52.2 

—  4.4 

90 

-  2  16.3 

17.1 

135 

-  8     7.4 

+  2.9 

ISO 

0     0.0 

+14.9 

eot  *  v'  =  r+~e  cos  *  •*'                        True  Anomaly  »  =  B'  +  C                            log  ~7  -°  =  9.9125  13 

P 

T      i-fecosB                                                 1ogp  =  0.38ol99                                ,,g  c  =  9.001GGO 

11 


[ 
TABLE    III. 

FOR  THE  ARGUMENTS. 

A.     l''or  the  different  Years.     The  times  are  referred  to  the  meridian  of  Washington. 

tears. 

i. 

II. 

III. 

IV. 

V. 

VI. 

VII. 

VIII. 

IX 

X. 

1  -50 

211.057 

56.713 

165.842 

102.528 

31  4°  18 

353?40 

95?93 

320?79 

250?87 

244°.27 

1-51 

181.333 

153.080 

168.538 

165374 

347.21 

150.42 

316.29 

196.79 

344.54 

134.96 

185-2  B 

150.934 

249.708 

171.210 

329.392 

20.32 

307.86 

177.25 

72.46 

78.47 

20.33 

1853 

180.598 

34(1.072 

173.933 

398.737 

53.33 

104.88 

37.61 

308.46 

172.14 

277.01 

1  35  1 

90.273 

88.437 

176.638 

35(1.082 

86.35 

261.89 

257.97 

184.46 

205.81 

107.70 

1-55 

59.947 

178.799 

179.320 

59.486 

119.37 

58.90 

118.33 

60.47 

359.48 

5*.  38 

1  .-50  B 

89.539 

875.439 

162.023 

122.945 

152.48 

216.35 

339.30 

296.13 

93.41 

309.76 

\  rC>7 

359.213 

11.791 

184.715 

186.289 

185.50 

13.30 

199.65 

172.14 

187.08 

200.44 

1858 

338.888 

108.156 

187.410 

249.634 

218.52 

170.38 

60.01 

48.14 

280.75 

91.13 

1859 

898.563 

204.518 

190.102 

312.978 

251.54 

327.39 

280.37 

284.15 

14.42 

341.81 

I860  B 

868.154 

30  1.1  48 

192.805 

1(1.497 

884.65 

124.84 

141.  "33 

159.81 

108.34 

233.18 

1861 

837.838 

37.51  1 

195.497 

79.841 

317.67 

281.85 

1.69 

35.81 

202.01 

123.87 

1863 

807.503 

133.876 

198.193 

143.187 

350.09 

78.87 

222.06 

271.82 

295.68 

14.55 

1863 

177.178 

2:10.212 

300.888 

206.532 

23.71 

235.89 

82.42 

147.82 

29.35 

265.24 

l-(!4  B 

1  10.709 

836.869 

303.588 

270.050 

50.82 

33.33 

303.38 

23.49 

123.28 

150.01 

1805 

116.444 

68.334 

806.883 

333.395 

89.84 

190.35 

163.74 

259.49 

210.95 

47.30 

1866 

SO.  119 

159.599 

208.978 

36.740 

122.86 

347.30 

24.10 

135.50 

310.02 

297.98 

1867. 

55.793 

855.961 

211.070 

100.084 

155.88 

144.37 

244.46 

11.50 

44.29 

188.67 

1868  jB 

25.385 

:  ',52.591 

214.373 

163.603 

188.99 

301.82 

105.42 

247.17 

138.22 

80.04 

1869 

355.060 

88.956 

217.0(18 

226.948 

222.01 

98.84 

325.78 

123.17 

231.89 

330.72 

1870 

324.734 

165.313 

819.760 

290.292 

255.03 

255.85 

186.14 

359.17 

325.56 

221.41 

187] 

894.409 

881.683 

222.155 

353.637 

288.05 

52.80 

46.50 

235.18 

59.33 

112.09 

1  -72  B 

364.001 

18.313 

835.158 

57.15(1 

321.16 

210.31 

207.47 

110.85 

1  53.  1  5 

3.47 

1873 

833.676 

1  14.07* 

987.853 

120.501 

351.18 

7.33 

127.83 

846.85 

240.82 

254.15 

1874 

203.350 

211.012 

230.546 

183.846 

27.20 

164.34 

348.19 

222.85 

340.50 

144.84 

1876 

173.025 

307.407 

233.241 

247.191 

60.22 

321.36 

208.55 

98.80 

74.17 

35.52 

1  -70  5 

142.017 

44.037 

235.944 

310.710 

93.33 

118.80 

09.51 

334.52 

108.09 

2-6.90 

1S77 

1  |-_>.292 

140.402 

238.639 

14.055 

126.35 

375.83 

289.87 

210.53 

261.76 

177.58 

1878 

81.967 

836.767 

211.331 

77.400 

159.37 

72.83 

150.23 

80.53 

355.43 

68.27 

1879 

51.643 

333.133 

24  4.  02!  1 

140.745 

192.39 

229.85 

10.59 

322.54 

89.10 

318.95 

1  .-.<()  B 

81.834 

69.762 

246.732 

201.204 

225.50 

27.29 

23  1.56 

198.20 

183.03 

210.32 

1881 

350.908 

166.124 

249.424 

267.608 

258.52 

1*1.31 

91.92 

74.21 

276.70 

101.01 

1883 

330.563 

868.489 

252.119 

330.953 

291.54 

341.32 

312.28 

310.21 

10.37 

357.69 

1883 

890.358 

358.856 

854.815 

31.299 

334.56 

138.34 

172.64 

180.22 

104.04 

348.98 

1884  B 

859.849 

95.481 

257.514 

97.816 

357.66 

295.78 

33.60 

61.88 

197.97 

133.75 

1885 

2-.29.5-ll 

191.848 

260.210 

161.1(12 

30.09 

92.80 

253.96 

297.88 

291  .64 

24.44 

1886 

199.198 

268.208 

262.901 

884.505 

63.70 

249.81 

114.32 

173.89 

25.31 

275.12 

1887 

168.873 

24.575 

2(15.5:17 

287.851 

96.73 

46.83 

334.68 

49.89 

118.98 

165.81 

1  .-'S8  I? 

13&465 

181.304 

868.899 

351.370 

189.83 

204.27 

195.04 

2-5.56 

212.90 

57.  IS 

1889 

1  08.139 

817.667 

270.992 

51.714 

162.85 

1.29 

50.00 

161.56 

306.57 

307.80 

1890 

77.814 

313.932 

273.687 

II.  -'.059 

I95.S7 

158.30 

276.36 

37.57 

40.24 

198.55 

1891 

47.489 

50.297 

876.363 

181.404 

228.89 

315.32 

136.72 

273.57 

133.91 

8!  1.23 

1892  # 

17.080 

146.984 

879.083 

844.983 

262.00 

112.70 

357.09 

149.24 

337.84 

340.61 

1893 

3  1(1.75.-. 

843.389 

281.777 

308.207 

295.02 

3*9.78 

218.05 

25.24 

321.51 

231.29 

1894 

316.430 

339.654 

284.172 

1  1.612 

328.04 

66.79 

78.41 

201.25 

55.18 

191.98 

[895 

886,104 

7(1.01(1 

287.164 

74.956 

1.06 

223.81 

298.76 

137.25 

148.85 

12.60 

1*90  5 

855.696 

178.646 

289.867 

138.475 

34.17 

21.25 

159.73 

12.92 

242.78 

204.03 

is:  17 

225.37  1 

2(19.013 

292.5(13 

201.821 

67.19 

178.27 

20.09 

248.92 

336.45 

154.72 

1898 

195.045 

5.375 

295.255 

265.165 

100.21 

336.28 

240.45 

124.92 

70.12 

45.40 

1899 

164.730 

101.740 

297.950 

398.510 

133.23 

132.30 

100.81 

0.93 

163.79 

290.09 

1900  /j 

134.311 

198.367 

300.650 

32.028 

166.34 

289.74 

321.77 

2:16.59 

257.72 

187.46 

12 


TABLE    III.  —  Continued. 

FOR  THE  ARGUMENTS. 

A.     For  the  different  Yean.     The  times  are  referred  to  the  meridian  of  Washington. 

Years. 

XI. 

XII. 

XIII. 

XIV. 

XV. 

XVI. 

XVII. 

XVIII. 

XIX. 

XX. 

1850 

76°.0 

32C°.9 

217.8 

42°.9 

24°.  1 

198°.4 

i33°.a 

0 

172.4 

o 

17.5 

89°.3 

1851 

63.8 

48.3 

32.9 

112.1 

199.4 

188.8 

214.9 

18.1 

349.9 

106.7 

1852  B 

51.6 

130.0 

208.5 

181.6 

14.3 

46.C 

295.8 

223.4 

:!•>•>.  1 

125.1 

1853 

39.3 

211.5 

23.6 

250.8 

189.7 

330.3 

17.5 

69.1 

2114.5 

142.5 

1854 

27.1 

292.9 

198.8 

320.1 

5.0 

254.0 

99.8 

274.7 

2GG.9 

159.9 

1855 

14.9 

14.4 

13.9 

29.3 

180.4 

177.8 

180.9 

120.4 

939.8 

177.2 

18565 

2.7 

96.1 

189.5 

98.8 

355.2 

102.2 

261.8 

385.7 

211.6 

195.6 

1857 

350.5 

177.5 

4.6 

168.0 

170.6 

25.9 

343.5 

171.4 

183.9 

213.0 

1858 

338.3 

259.0 

179.8 

237.3 

345.9 

309.0 

65.2 

17.0 

156.3 

230.4 

1859 

326.  1 

340.5 

354.9 

306.5 

161.3 

233.3 

14C.8 

222.7 

128.7 

847.7 

1860  B 

313.8 

62.2 

170.5 

16.0 

336.1 

157.8 

227.8 

68.0 

101.0 

266.8 

1861 

301.6 

143.G 

345.6 

85.2 

151.5 

81.5 

309.5 

•-27:!.  ii 

73.3 

283.6 

1862 

289.4 

225.1 

160.8 

154.5 

326.8 

5.2 

31.1 

119.3 

45.7 

300.9 

1863 

277.2 

306.5 

335.9 

223.7 

142.8 

888.9 

112.8 

385.0 

18.1 

318.3 

1864  B 

264.9 

28.2 

151.5 

293.2 

317.0 

213.4 

193.7 

170.2 

350.3 

336.7 

1865 

252.7 

109.7 

326.6 

2.4 

132.4 

136.1 

275.4 

15.9 

322.7 

354.1 

1866 

240.5 

191.1 

141.8 

71.7 

307.7 

60.8 

357.1 

891.6 

295.1 

11.5 

1867 

228.3 

272.6 

316.9 

140.9 

123.1 

344.5 

78.8 

G7.3 

2G7.5 

98.8 

1868  B 

216.1 

354.3 

132.5 

210.3 

997.9 

269.0 

159.7 

272.6 

839.8 

47.2 

1869 

203.8 

75.7 

307.6 

279.6 

113.3 

192.7 

241.4 

118.2 

813.1 

64.6 

1870 

191.6 

157.2 

122.8 

348.8 

288.0 

116.4 

323J 

383.9 

184.5 

82.0 

1871 

179.4 

238.7 

297.9 

58.1 

104.0 

40.1 

44.8 

169.6 

15G.9 

99.4 

1872  B 

167.2 

320.3 

113.5 

127.5 

278.8 

324.6 

185.7 

14.8 

189.3 

117.  S 

1873 

155.0 

41.8 

288.6 

196.8 

94.2 

948.3 

207.4 

220.5 

101.5 

135.1 

1874 

142.8 

123.3 

103.8 

266.0 

2G9.5 

172.0 

989.1 

66.8 

73.9 

158.5 

1875 

130.6 

204.7 

278.9 

335.3 

84.9 

95.7 

10.7 

271.9 

4G.3 

169.9 

18765 

118.3 

286.4 

94.5 

44.7 

259.8 

20.2 

91.7 

117.1 

i-.:. 

188.3 

1877 

106.1 

7.9 

269.6 

114.0 

75.1 

303.9 

173.3 

388.8 

350.9 

-,'05.7 

1S78 

93.9 

89.3 

84.8    • 

183.2 

'  250.5 

227.6 

856.0 

1G8.5 

883.3 

223.  1 

1879 

81.7 

170.8 

259.9 

252.5 

65.8 

151.3 

3:1(1.7 

14.2 

896.7 

24(1.  1 

1880  B 

69.4 

252.5 

75.5 

321.9 

240.7 

75.8 

57.6 

219.4 

268.0 

358.9 

1881 

57.2 

333.9 

250.6 

31.2 

56.0 

359.5 

139.3 

65.1 

240.3 

276.8 

1882 

45.0 

55.4 

65.8 

100.4 

231.4 

283.2 

221.0 

270.8 

212.7 

893.6 

1883 

32.8 

136.8 

240.9 

169.7 

46.7 

20G.9 

302.7 

116.5 

185.1 

311.0 

1884  B 

20.6 

218.5 

56.5 

239.1 

'   221.6 

131.4 

23.6 

321.7 

157.3 

329.4 

1885 

8.3 

300.0 

231.6 

308.3 

36.9 

55.1 

105.3 

167.4 

129.7 

346.8 

1886 

356.1 

21.4 

46.8 

17.6 

212.3 

338.8 

187.0 

13.1 

102.1 

4.1 

1887 

343.9 

102.9 

221.9 

86.8 

27.6 

963.5 

268.7 

218.8 

71.1 

81.6 

1888  B 

331.7 

184.6 

37.5 

156.3 

202.5 

187.0 

349.6 

64.0 

4G.8 

39.9 

1889 

319.5 

266.1 

212.6 

225.5 

17.8 

110.7 

71.3 

269.7 

19.1 

57.3 

1890 

307.3 

347.5 

27.8 

294.8 

193.2 

34.4 

158.9 

115.  1 

351.5 

74.7 

1891 

295.1 

69.0 

202.9 

4.0 

8.5 

318.1 

234.6 

381.1 

383.9 

99.0 

18925 

282.8 

150.7 

18.5 

73.5 

183.4 

242.6 

315.6 

166.3 

296.2 

110.4 

1893 

270.6 

232.1 

193.6 

142.7 

358.7 

10(5.3 

37.2 

18.0 

968.5 

137.8 

1894 

258.4 

313.6 

8.8 

212.0 

174.1 

90.0 

118.9 

217.7 

940.9 

1  15.2 

1895 

24G.2 

35.0 

183.9 

281.2 

349.5 

i:!.7 

200.6 

63.3 

213.3 

168.6 

18965 

233.9 

116.7 

359.5 

35(T.7 

166.3 

298.2 

281.5 

268.6 

185.5 

180.9 

1897 

221.7 

198.2 

174.6 

59.9 

339.7 

221.9 

3.2 

114.3 

157.9 

198.4 

1898 

209.5 

279.6 

349.8 

129.2 

155.0 

145.6 

84.9 

380.0 

130.3 

215.7 

1899 

197.3 

1.1 

164.9 

198.4 

330.4 

69.3 

16G.G 

165.7 

102.7 

233.  1 

1900  5 

185.1 

82.8 

340.5 

267.8 

145.2 

353.8 

847.5 

10.9 

75.0 

251.5 

13 


TABLE  III.—  Continued. 

FOR  THE  ARGUMENTS. 

A.     For  the  different  Years.     The  times  are  referred  to  the  meridian  of  Washington. 

Years. 

XXI. 

XX11. 

XXIII. 

XXIV. 

XXV. 

XXVI. 

XXVII. 

XXVIII. 

XXIX. 

XXX. 

1850 

159 

0 

120 

o 

81 

0 

11 

262 

0 

229 

o 

70 

238 

0 

135 

o 

185 

1851 

319 

156 

352 

140 

125 

171 

212 

285 

119 

79 

1852  B 

119 

192 

264 

270 

348 

113 

354 

334 

105 

333 

1853 

279 

227 

176 

39 

212 

65 

136 

22 

89 

227 

1854 

78 

263 

87 

169 

75 

357 

279 

70 

73 

]21 

1855 

238 

299 

359 

298 

298 

299 

61 

117 

58 

15 

18/56  B 

38 

335 

271 

68 

161 

241 

203 

166 

43 

269 

1857 

198 

10 

182 

197 

24 

183 

345 

214 

28 

163 

1858 

358 

46 

94 

327 

247 

125 

127 

261 

12 

58 

1859 

157 

82 

6 

96 

110 

67 

270 

309 

356 

312 

1860  B 

318 

117 

277 

226 

334 

9 

51 

358 

342 

205 

1861 

117 

153 

189 

355 

197 

311 

194 

46 

326 

100 

wes 

277 

189 

101 

125 

60 

253 

336 

93 

.  310 

354 

1863 

77 

225 

12 

254 

283 

195 

118 

141 

295 

248 

1864  B 

237 

260 

284 

24 

147 

137 

260 

190 

280 

142 

1866 

37 

296 

196 

153 

10 

79 

43 

238 

264 

36 

1866 

196 

332 

107 

282 

233 

21 

185 

285 

249 

290 

1867 

356 

8 

19 

52 

96 

323 

327 

333 

233 

184 

18685 

156 

43 

291 

182 

320 

265 

109 

22 

218 

78 

1869 

316 

79 

202 

311 

183 

207 

251 

70 

208 

332 

1870 

116 

115 

114 

80 

46 

149 

34 

117 

187 

226 

1871 

275 

151 

26 

210 

269 

91 

176 

165 

171 

120 

1872  B 

75 

186 

297 

339 

133 

33 

318 

214 

157 

14 

1873 

235 

222 

209 

109 

356 

335 

100 

261 

141 

268 

1874 

35 

258 

121 

238 

219 

277 

242 

309 

125 

162 

1875 

195 

293 

32 

8 

82 

219 

25 

357 

110 

56 

18761? 

355 

329 

304 

137 

305 

161 

166 

46 

95 

310 

1ST  7 

154 

5 

216 

867 

169 

103 

309 

93 

79 

204 

1878 

315 

41 

127 

36 

32 

45 

91 

141 

64 

98 

1879 

114 

76 

39 

166 

255 

347 

233 

189 

48 

353 

1  sso  B 

274 

112 

310 

295 

118 

289 

15 

238 

33 

246 

1881 

74 

148 

222 

65 

341 

231 

157 

285 

18 

141 

1889 

233 

184 

133 

194 

204 

173 

300  . 

333 

2 

35 

1883 

33 

919 

46 

323 

67 

115 

82 

21 

34(i 

289 

1  -S4  B 

193 

255 

317 

93 

291 

57 

224 

69 

332 

183 

1885 

353 

291 

229 

223 

154 

359 

6 

117 

316 

77 

1886 

153 

326 

140 

352 

17 

301 

149 

165 

300 

331 

1887 

312 

2 

52 

121 

240 

243 

291 

213 

285 

225 

1888  B 

113 

38 

324 

251 

104 

185 

73 

261 

270 

119 

1889 

272 

74 

235 

20 

327 

127 

215 

309 

254 

13 

1890 

72 

110 

147 

150 

190 

69 

357 

357 

239 

267 

1891 

232 

145 

59 

279 

53 

11 

140 

45 

223 

161 

18!  12  B 

32 

181 

330 

49 

277 

313 

281 

93 

208 

55 

1893 

193 

217 

242 

178 

140 

255 

64 

141 

193 

309 

IS!  14 

351 

253 

154 

308 

3 

197 

206 

189 

177 

303 

1895 

151 

288 

65 

77 

226 

139 

348 

236 

162 

97 

1896  B 

311 

324 

337 

207 

90 

81 

130 

285 

147 

351 

is:  17 

111 

0 

249 

336 

313 

23 

272 

333 

131 

245 

1898 

270 

35 

160 

106 

176 

325 

55 

21 

116 

139 

1899 

70 

71 

72 

235 

39 

267 

197 

68 

100 

34 

1900  B 

230 

107 

:M4 

5 

262 

209 

339 

117 

85 

287 

14 


TABLE    III.—  Continued. 

FOR  THE  ARGUMENTS. 

B.      Variations  of  the  Arguments  for  the  different  Months.     The  times  arc  referred  to  the  meridian  of  Washington. 

Months. 

I. 

II. 

III. 

IV. 

V. 

VI. 

VII. 

VIII. 

IX. 

X. 

January       .     . 

0.000 

0.000 

0.000 

0.000 

0.00 

0.00 

0.00 

8.00 

0.00 

8.00 

February    .     . 

357.425 

8.184 

0.229 

5.378 

2.80 

13.34 

18.71 

3411.47 

7.95 

81.29 

March     . 

355.0!  18 

15.576 

0.436 

10.236 

5.34 

25.38 

35.69 

339.96 

15.11 

40.59 

April      .     .     . 

352.523 

23.760 

0.665 

15.614 

8.14 

38.72 

54.33 

329.43 

23.08 

<il.H 

May  .... 

350.031 

31.680 

0.887 

20.819 

1  0.86 

51.62 

72.44 

319.23 

30.78 

82.42 

June  .... 

347.456 

39.864 

1.116 

26.197 

13.06 

64.96 

91.16 

308.70 

38.74 

103.71 

July  .... 

344.964 

47.784 

1  .338 

31.402 

16.38 

77.87 

109.27 

298.51 

46.43 

124.31 

August  .     .     . 

342.38!) 

55.968 

1.567 

36.780 

19.18 

91.20 

127.99 

287.98 

54.39 

145.60 

September  .     . 

339.814 

64.152 

1.796 

48.158 

2)  .99 

11)4.54 

146.70 

277.45 

62.34 

J  66.89 

October  . 

337.322 

72.072 

2.018 

47.363 

24.70 

117.44 

164.81 

267.26 

70.04 

187.50 

November  . 

334.747 

80.256 

2.247 

52.741 

27.51 

130.78 

183.53 

256.73 

78.00 

908.79 

December  .     . 

332.255 

8S.17S 

2.467 

57.946 

30.99 

1  13.69 

201  .64 

246.54 

85.69 

229.39 

Months. 

XI. 

XII. 

XIII. 

XIV. 

XV. 

XVI. 

XVII. 

XVIII. 

XIX. 

XX. 

January      .     . 

8.0 

8.0 

8.0 

8.0 

8.0 

o 

0.0 

8.0 

8.0 

o 
0.0 

8.0 

February    .     . 

350.0 

63 

14.9 

5.9 

344.3 

24.1 

336.4 

346.9 

357.7 

38.0 

.March    .     .  •    . 

358.0 

13.9 

28.3 

11.2 

330.1 

45.!) 

315.0 

335.0 

355.5 

61.0 

April      .     .     . 

357.0 

20.1 

43.2 

17.1 

314.5 

70.0 

291  .4 

321.9 

353.2 

93.0 

May   .... 

356.0 

26.8 

57.6 

22.8 

299.3 

93.3 

268.5 

309.3 

350.!) 

124.1 

June  .... 

354.9 

33.7 

72.4 

28.6 

283.6 

117.4 

244.9 

2!  16.1 

348.6 

I5G.1 

July  .... 

353.9 

40.4 

86.8 

34.3 

268.4 

140.7 

222.0 

283.5 

346.3 

1-7.1 

August  . 

352.9 

47.3 

101.7 

40.2 

252.7 

164.8 

198.3 

270.4 

344.0 

219.9 

September  .     . 

351.9 

54.2 

116.6 

46.1 

237.0 

188.9 

174.7 

257.2 

341.6 

251.2 

October  . 

350.9 

60.9 

130.9 

51.8 

221.9 

212.2 

151.8 

244.6 

339.4 

282.3 

November  .     . 

349.8 

67.8 

145.8 

57.7 

206.2 

236.3 

128.9 

231  £ 

337.0 

314.3 

December  .     . 

348.8 

74.5 

160.2 

63.3 

191.0 

259.6 

105.:! 

218.8 

334.8 

345.3 

Months. 

XXI. 

XXII. 

XXIII. 

XXIV. 

XXV. 

XXVI. 

XXVII. 

XXVIII. 

XXIX. 

XXX. 

January       .     . 

o 
0 

o 
0 

o 
0 

8 

o 
0 

o 
0 

0 

0 

o 
0 

o 
0 

0 

0 

February    .     . 

14 

3 

352 

11 

1!) 

'.  155 

341 

35 

2!) 

351 

March     .     .     . 

26 

6 

346 

21 

36 

361 

325 

66 

56 

343 

April      .     .     . 

39 

9 

338 

32 

55 

346 

306 

100 

88 

334 

May  .... 

53 

12 

331 

42 

73 

341 

288 

134 

113 

395 

June  .... 

66 

15 

323 

53 

92 

336 

270 

169 

143 

316 

July  .... 

79 

18 

316 

64 

111) 

331 

252 

202 

171 

907 

August  .     .     . 

93 

21 

309 

75 

129 

326 

233 

837 

200 

298 

September  .     . 

106 

24 

301 

86 

148 

321 

215 

271 

229 

289 

October  .     .     . 

120 

27 

294 

97 

166 

317 

197 

305 

258 

981 

November  .     . 

133 

30 

286 

108 

185 

312 

179 

839 

287 

272 

December  .     . 

146 

33 

279 

118 

204 

307 

161 

373 

315 

263 

In  Bissextile  Years  subtract  one  day  from  the  date  in  the  first  two  months. 

15 


TABLE    III.  —Continued. 

FOR  THE  ARGUMENTS. 

C.     Variations  of  the  Arguments  in  the  different  Days.     The  times  are  referred  to  the  meridian  of  Washington. 

DM  vs. 

I. 

IF. 

III. 

IV. 

V. 

VI. 

VII. 

VIII. 

IX. 

X. 

1 

:r>°i.!M7 

0.364 

8.007 

0.173 

0.09 

8.43 

0.60 

359°66 

0.26 

8.69 

2 

359.834 

0.528 

0.015 

0.347 

0.18 

0.86 

1.21 

359.32 

0.51 

1.37 

:s 

3r>!>.7f>l 

0*798 

0.022 

0.520 

0.27 

1.29 

1.81 

358.98 

077 

2.06 

4 

359.667 

1  .056 

0.030 

0494 

0.36 

1.72 

2.41 

358.64 

1.03 

2.75 

5 

359J>84 

1  320 

0.037 

0.867 

9.45 

2.15 

3.02 

358.30 

1.28 

3.43 

G 

3595ft] 

1  .5,-!4 

0.044 

1.041 

0.54 

2.58 

3.69 

357.96 

1  .54 

4.12 

7 

359418 

1.8  J  8 

0.052 

1.214 

0.63 

3.01 

4.23 

357.62 

1.80 

4.81 

8 

:r>9.3:i.-> 

2.112 

0.059 

1.388 

0.72 

3.44 

4.83 

357.28 

2.05 

5.49 

9 

359.252 

3.376 

O.OG7 

1.66] 

0.81 

3.87 

5.43 

356  94 

2.31 

6.18 

Ill 

359.1G9 

2.640 

0.074 

1.735 

0.90 

4.30 

6.04 

356.60 

2.57 

6.87 

20 

35&S38 

5.280 

0.148 

3.470 

1.81 

8.60 

12.07 

353.20 

5.13 

13.74 

30 

357.508 

7.920 

0.222 

5.205 

2.71 

12.91 

18.11 

349.80 

7.70 

20.60 

Days. 

XI. 

XII. 

XIII. 

XIV. 

XV. 

XVI. 

XVII. 

XVIII. 

XIX. 

XX. 

1 

o 
0.0 

o 

0.2 

o 
0.5 

o 
0.2 

o 
359.5 

o 
0.8 

359.2 

o 
359.6 

359.9 

o 
1.0 

2 

359.9 

0.4 

1.0 

0.4 

359.0 

1.6 

358.5 

359.2 

359.8 

2.1 

3 

359.9 

0.7 

1.4 

0.6 

358.5 

2.3 

357.7 

358.7 

359.8 

3.1 

4 

359.9 

0.9 

1.9 

0.8 

358.0 

3.1 

357.0 

358.3 

359.7 

4.1 

5 

359.8 

1.1 

2.4 

0.9 

357.5 

3.9 

356.2 

357.9 

359.6 

5.2 

G 

359.8 

1.3 

2.9 

1.1 

357.0 

4.7 

355.4 

357.5 

359.5 

6.2 

7 

359.8 

l.G 

3.4 

1.3 

356.5 

5.4 

354.7 

357.0 

359.5 

7.2 

8 

359.7 

1.8 

3.8 

1.5 

356.0 

6.2 

353.9 

356.6 

359.4 

8.3 

9 

359.7 

2.0 

4.3 

1.7 

355.4 

7.0 

353.1 

356.2 

359.3 

9.3 

10 

359.7 

2.2 

4.8 

1.9 

354.9 

7.8 

352.4 

355.8 

359.2 

10.3 

20 

359.3 

4.5 

9.6 

3.8 

349.9 

15.5 

344.8 

351.6 

358.5 

20.7 

30 

359.0 

6.7 

14.4 

5.7 

344.8 

23.3 

337.1 

347.3 

357.7 

31.0 

Days. 

XXI. 

XXII. 

XXIII. 

XXIV. 

XXV. 

XXVI. 

XXVII. 

XXVIII. 

XXIX. 

XXX. 

1 

o 
0 

o 
0 

0 

0 

0 

0 

o 

0 

0 

35°9 

o 

J 

°0 

2 

I 

0 

0 

1 

1 

0 

359 

2 

2 

359 

3 

1 

0 

359 

1 

2 

0 

358 

3 

3 

359 

4 

2 

0 

359 

1 

2 

359 

358 

4 

4 

359 

5 

2 

0 

359 

2 

3 

359 

357 

6 

5 

359 

G 

3 

359 

2 

4 

359 

356 

7 

6 

358 

7 

3 

358 

.2 

4 

359 

356 

8 

7 

358 

8 

4 

358 

3 

5 

359 

355 

9 

8 

358 

9 

4 

358 

3 

5 

368 

355 

10 

8 

357 

10 

4 

358 

3 

6 

358 

354 

11 

9 

357 

20 

9 

2 

355 

7 

12 

357 

348 

22 

19 

354 

30 

13 

3 

353 

10 

18 

355 

342 

34 

28 

351 

16 


TABLE    III.— Concluded. 
FOR  THE  ARGUMENTS. 

D.     Variations  of  the  Arguments  in  the  different  Hours.     The  times  are  referred  to  the  meridian  of  Washington. 


Days. 


1 

2 

3 
4 
5 
6 

7 
8 

y 
10 
20 


i. 


359.996 
359.993 
35JI.990 
359.986 
359.983 
359.979 
359.976 
359.972 
359.969 
359.965 
359.930 


II. 


0.011 
0.022 
0.033 
0.044 
0.055 
0.066 
0.077 
0.088 
0.099 
0.110 
0.220 


III. 


0.000 
0.001 
0.001 
0.001 
0.001 
0.002 
0.002 
0.002 
0.003 
0.003 
0.006 


IV. 


0.007 
0.014 
0.022 
0.029 
0.036 
0.043 
0.050 
0.058 
0.065 
0.072 
0.144 


V. 


0.00 
0.01 
0.01 
0.02 
0.02 
0.02 
0.03 
0.03 
0.03 
0.04 
0.08 


VI. 


0.02 
0.04 
0.05 
0.07 
0.09 
0.11 
0.13 
0.14 
0.16 
0.18 
0.36 


VII. 


o 
0.02 

0.05 
0.07 
0.10 
0.12 
0.15 
0.17 
0.20 
0.22 
0.25 
0.50 


VIII. 


359.99 
359.97 
359.96 
359.94 
359.93 
359.92 
359.91 
359.89 
359.88 
359.86 
359.72 


IX. 

0.01 
0.02 
0.03 
0.04 
0.05 
0.06 
0.07 
0.08 
0.09 
0.10 
0.21 


X. 

0.03 
0.06 
0.09 
0.11 
0.14 
0.17 
0.20 
0.23 
0.26 
0.29 
0.57 


17 


PERTURBATIONS  OF  1 

TABLE    IV. 

HE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

Terms  multiplied  with  t.     Argument  =  Jtf. 

Arg. 

e 

Diff. 

,' 

Diff. 

f           Diff. 

Arg. 

* 

Diff. 

,' 

Diff. 

P 

Diff. 

0 

0 
1 

-  10.69 
7.21 

+3.48 

-269.53 

209.27 

+0.26 

-  25.50 

45 

46 

+  89.07 
89.33 

+0.26 

-176.05 
173.10 

+2.95 

-  15.10 

+1.26 

a 

3.75 

3.46 

868.89 

0.38 

+0.10 

47 

89.51 

0.18 

170.16 

2.94 

3 

-     0.30 

3.45 

268.40 

0.49 

85.46 

48 

89.60 

+0.09 

167.24 

2.92 

13.84 

4 

+     3.14 

3.44 

267.81 

0.59 

49 

89.60 

0.00 

164.35 

2.89 

1.31 

5 

6.55 

3.41 

207.10  1 

0.71 

0.19 

50 

89.53 

-0.07 

161.48 

2.87 

6 

9.93 

3.38 

200.29 

0.81 

85.S7 

51 

89.37 

0.16 

158.63 

2.85 

12.53 

7 

13.28 

3.35 

265.37 

0.92 

52 

89.13 

0.24 

155.81 

2.82 

1.34 

8 

16.60 

3.32 

1.03 

0.28 

53 

88.81 

0.32 

153.02 

2.79 

9 

19.87 

3.27 

263.21 

1.13 

24.99 

54 

88.42 

0.39 

150.27 

2.75 

11.19 

3.23 

1.23 

0.47 

2.72 

10 
11 

+  23.10 

20.29 

+3.19 

-261.98 

260.65 

+1.33 

0.38 

55 
56 

+  87.95 
87.40 

-0.55 

-147.55 
144.87 

+2.68 

1.37 

12 

29.42 

3.13 

259.23 

1.42 

24.61 

57 

86.78 

0.62 

142.23 

2.64 

9.82 

32.49 

3.07 

257.71 

1.52 

58 

86.10 

0.68 

139.63 

2.60 

1.41 

14 

35.51 

3.02 

256.09 

1.62 

0.46 

59 

85.34 

0.76 

137.07 

2.56 

15 

38.48 

2.97 

354.38 

1.71 

24.15 

00 

84.52 

0.82 

134.56 

2.51 

8.41 

16 

41.38 

2.90 

252.59 

1.79 

01 

83.64 

0.88 

132.10 

2.46 

1.44 

17 

44.21 

2.83 

250.70 

1.89 

0.55 

02 

82.70 

0.94 

129.68 

2.42 

2  77 

1.97 

1.00 

9  36 

18 

40.98 

248.73 

23.60 

63 

81.70 

127.32 

6.97 

19 

49.07 

2.69 

246.08 

2.05 

64 

80.65 

1.05 

125.01 

2.31 

2.62 

2.14 

0.64 

1.11 

2.26 

1.46 

20 

+  52.59 

-214.54 

65 

+  79.54 

-122.75 

21 

54.83 

+2.54 

242.34 

+2.20 

82.96 

06 

78.39 

-1.15 

120.54 

+2.21 

5.51 

22 

57.29 

2.46 

240.07 

2.27 

0.73 

67 

77.19 

1.20 

118.39 

2.15 

1.48 

23 

59.07 

2.38 

237.72 

2.35 

68 

75.94 

1.25 

116.29 

2.10 

24 

61.97 

2.30 

235.32 

2.40 

22.23 

69 

74.63 

1.31 

114.25 

2.04 

4.03 

25 

64.18 

2.21 

232.80 

2.46 

0.81 

70 

73.29 

1.34 

112.27 

1.98 

1.49 

2.12 

2.53 

1.38 

1.92 

26 

06.30 

230.33 

71 

71.91 

110.35 

27 

08.34 

2.04 

227.75 

2.58 

21.42 

72 

70.50 

1.41 

108.49 

1.86 

2.54 

28 

70.29 

1.95 

225.12 

2.63 

73 

69.05 

1.45 

106.69 

1.80 

29 

72.15 

1.86 

222.44 

2.68 

0.88 

74 

67.57 

1.48 

104.95 

1.74 

1.50 

1.76 

2.72 

1.51 

1.68 

30 

+  73.91 

-219.72 

20.54 

75 

+  66.06 

-103.27 

-     1.04 

31 

75.58 

+1.67 

210.96 

+2.76 

0.96 

76 

64.52 

-1.54 

101.65 

+1.62 

1.51 

32 

77.15 

1.57 

214.16 

2.80 

77 

62.96 

1.56 

100.09 

1.56 

1.48 

2.83 

1.58 

1.49 

33 

78.03 

211.33 

19.58 

78 

61.38 

98.60 

+    0.47 

1.39 

2.87 

1.60 

1.43 

34 

80.02 

208.46 

1.03 

79 

59.78 

97.17 

1.50 

1.30 

2.8S 

•    1.62 

1.37 

35 

81.32 

205.57 

80 

58.16 

95.80 

1.20 

2.90 

1.64 

1.31 

36 

82.52 

202.67 

18.55  | 

81 

56.02 

94.49 

1.97 

1.10 

2.92 

1.66 

1.25 

37 

83.02 

199.75 

1.09 

82 

54.86 

93.24 

1.49 

38 

84.63 

1.01 

196.81 

2.94 

83 

53.20 

1.66 

92.05 

1.19 

0.92 

2.96 

1.67 

1.13 

39 

85.55 

193.85 

17.46 

84 

51.53 

90.92 

3.46 

0.82 

2.96 

1.67 

1.07 

40 

+  86.37 

-190.89 

1.15 

85 

+  49.86 

-  89.85 

1.48 

41 

87.10 

+0.73 

187.92 

+2.97 

86 

48.18 

-1.68 

88.84 

+1.01 

0.6' 

2.9S 

1.68 

0.95 

42 

87.73 

184.94 

10.31 

87 

46.49 

87.89 

4.94 

43 

88.27 

0.54 

181.97 

2.97 

+  1.21 

88 

44.81 

1.68 

87.00 

0.89 

+1.47 

44 

88.72 

0.45 

179.01 

2.96 

89 

43.  IX. 

1.69 

86.16 

0.84 

45 

+  «U»7 

+0.35 

-176.05 

+2.96 

-  15.11) 

90 

+  41.4- 

-1.68 

-  85.38 

+0.78 

+     6.41 

18 


r~ 

TABLE    IV  .—Continued. 
PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

Terms  multiplied  with  t.     Argument  =  Jtf. 

Arg. 

r 

Diff. 

If 

Diff. 

C' 

Diff. 

Arg. 

P 

Diff. 

r,' 

Diff. 

f 

Diff. 

o 

O 

90 

+  41.44 

-  85.38 

+    6.41 

135 

-  12.15 

-  91.28 

+  24.CO 

91 

39.76 

-1.68 

84.66 

+0.73 

+1.45 

136 

12.62 

-0.47 

91.86 

-0.58 

+0.85 

92 

38.08 

1.68 

83.99 

0.67 

137 

13.05 

0.43 

!>2.44 

0.58 

93 

36.41 

1.67 

83.38 

0.61 

7.86 

138 

13.45 

0.40 

93.02 

0.58 

25.51 

1.66 

0.56 

0.37 

0.57 

94 

34.75 

82.82 

1.43 

139 

13.82 

93.59 

0.80 

95 

33.10 

1.65 

82.31 

0.51 

140 

14.16 

0.34 

94.17 

0.58 

96 

31.47 

1.63 

81.85 

0.46 

9.29 

141 

14.47 

0.31 

94.73 

0.56 

26.31 

97 

29.86 

1.61 

81.44 

0.41 

1.40 

142 

14.75 

0.28 

95.29 

0.56 

0.74 

98 

28.25 

1.61 

81.09 

0.35 

143 

15.00 

0.35 

95.84 

0.55 

99 

26.06 

1.59 

80.78 

0.31 

10.69 

144 

15.23 

0.23 

96.39 

0.55 

27.05 

1.57 

0.26 

0.20 

0.54 

100 

+  25.09 

-  80.52 

1.38 

145 

-  15.43 

-  96.93 

0.68 

101 

23.54 

-1.55 

80.31 

+0.91 

146 

15.60 

-0.17 

97.46 

-0.53 

102 

22.00 

1.54 

80.14 

0.17 

12.07 

147 

15.74 

0.14 

97.98 

0.52 

27  73 

1.51 

0.13 

0.11 

0.51 

103 

20.49 

80.01 

1.35 

148 

15.85 

98.49 

0.63 

1.48 

0.08 

0.08 

0.49 

104 

19.01 

79.93 

149 

15.93 

98.98 

105 

17.55 

1.46 

79.89 

+0.04 

13.42 

150 

15.99 

0.06 

99.46 

0.48 

28.36 

1.44 

0.00 

0.04 

0.47 

106 

16.11 

79.89 

1.32 

151 

16.03 

99.93 

0.56 

1.41 

—0.04 

—0.01 

0.45 

107 

14.70 

79.93 

152 

10.04 

100.38 

1.39 

0.08 

-fO.Ol 

0.44 

108 

13.31 

80.01 

14.74 

153 

16.03 

100.82 

28.92 

1.36 

0.11 

0.03 

0.42 

109 

11.95 

80.12 

154 

16.00 

101.24 

1.34 

0.15 

1.28 

0.05 

0.40 

0.51 

110 

+  10.61 

-  80.27 

155 

-  15.95 

-101.64 

111 

9.30 

-1.31 

80.45 

-0.18 

16.02 

156 

15.88 

+0.07 

102.02 

-0.38 

29.43 

112 

8.02 

1.28 

80.66 

0.21 

1.24 

157 

15.79 

0.09 

102.38 

0.36 

0.45 

113 

6.77 

1.25 

80.90 

0.24 

158 

15.08 

0.11 

102.72 

0.34 

114 

5.55 

1.33 

81.18 

0.28 

17.26 

159 

15.50 

0.12 

103.04 

0.32 

29.88 

1.18 

0.30 

0,14 

0.30 

115 

4.37 

81.48 

1.20 

160 

15.42 

103.34 

0.38 

116 

3.22 

1.15 

81.81 

0.33 

161 

15.26 

0.16 

103.63 

0.29 

117 

2.11 

1.11 

82.16 

0.35 

18.46 

162 

15.10 

0.16 

103.8D 

0.26 

30.26 

118 

+    1.03 

1.08 

82.53 

0.37 

163 

14.92 

0.18 

104.13 

0.24 

119 

-    0.02 

1.05 

82.92 

0.39 

1.18 

164 

14.72 

0.20 

104.35 

0.22 

0.31 

1.02 

0.42 

0.20 

0.20 

120 
121 

-    1.04 
2.02 

-0.98 

-  83.34 

83.77 

-0.43 

19.61 

1.  10 

165 
166 

-  14.52 
14.30 

+0.22 

-104.55 
104.73 

-0.18 

30.57 

0.24 

122 

2.97 

0.95 

84.22 

0.45 

167 

14.07 

0.23 

104.88 

0.15 

123 

3.88 

0.91 

84.69 

0.47 

20.71 

168 

13.84 

0.23 

105.01 

0.13 

30.81 

124 

4.76 

0.88 

85.18 

0.49 

1.06 

169 

13.60 

0.24 

105.12 

0.11 

0.19 

125 

5.61 

0.85 

85.69 

0.51 

170 

13.35 

0.25 

105.20 

0.08 

126 

6.42 

0.81 

86.21 

0.52 

21.77 

171 

13.09 

0.26 

105.26 

0.06 

31.00 

127 

7.19* 

0.77 

86.74 

0.53 

1.02 

172 

12.83 

0.26 

105.29 

0.03 

0.13 

128 

7.93 

0.74 

87.29 

0.55 

173 

12.57 

0.26 

105.30 

-0.01 

129 

8.63 

0.70 

87.84 

0.55 

22.79 

174 

12.31 

0.26 

105.29 

+0.01 

31.13 

0.67 

0.56 

0.26 

0.04 

130 

-    9.30 

-  88.40 

0.97 

175 

-  12.05 

-105.25 

+0.06 

131 

9.94 

-0.64 

88.97 

-0.57 

170 

11.79 

+0.26 

105.19 

+0.06 

132 

10.54 

0.60 

89.54 

0.57 

23.76 

177 

11.53 

0.26 

105.10 

0.09 

31.19 

133 

11.11 

0.57 

90.12 

0.58 

+0.90 

178 

11.27 

0.26 

104.99 

0.11 

0.00 

134 

11.65 

0.54 

90.70 

0.58 

179 

11.02 

0.25 

104.85 

0.14 

135 

-  12.15 

-0.50 

-  91.2H 

-0.58 

+  24.66 

isi) 

-  10.76 

+0.26 

-104.69 

+0.16 

+  31.19 

19 


TABLE    I  V  .—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

Terms  multiplied  with  t.     Argument  =  M. 

Arg. 

cl 

Diff. 

'I1 

Diff. 

* 

Diff. 

Arg. 

cl 

s 

Diff. 

,' 

Diff. 

ff_ 

Diff. 

180 

-  10.76 

-104.69 

+  31.19 

O 

225 

-  18.05 

-  80.05 

+  23.63 

181 

10.51 

+0.25 

104.50 

+0.19 

-0.07 

226 

18.88 

-0.83 

79.40 

+0.65 

-0.97 

182 

10.27 

0.24 

104.29 

0.21 

227 

19.74 

0.86 

78.76 

0.64 

183 

10.03 

0.24 

104.06 

0.23 

31.12 

228 

20.64 

0.90 

78.14 

0.62 

22.66 

184 

9.80 

0.25 

103.81 

0.25 

0.13 

229 

21.57 

0.93 

77.53 

0.61 

1.02 

185 

9.58 

0.23 

103.53 

0.28 

230 

22.54 

0.97 

76.93 

0.60 

186 

9.37 

0.21 

103.23 

0.30 

30.99 

231 

23.55 

1.01 

76.35 

0.58 

21.64 

187 

9.17 

0.20 

102.91 

0.32 

0.20 

232 

24.59 

1.04 

75.79 

0.56 

1.07 

188 

8.99 

0.18 

1  o-.'.  :.ii 

0.35 

233 

25.67 

1.08 

75.25 

0.54 

189 

8.81 

0.18 

102.19 

0.37 

30.79 

234 

26.78 

1.11 

74.73 

0.52 

20.57 

0.16 

0.39 

1.15 

0.50 

190 

-    8.65 

-101.80 

0.26 

235 

-  27.93 

-  74.23 

1.11 

191 

8.51 

+0.14 

101.40 

+0.40 

236 

29.11 

-1.18 

73.76 

+0.47 

0.13 

0.43 

1.21 

0.45 

192 

8.38 

100.97 

30.53 

237 

30.32 

73.31 

19.46 

0.11 

0.45 

1.25 

0.42 

193 

8.27 

100.52 

0.32 

238 

31.57 

72.89 

1.15 

0.09 

0.47 

1.28 

0.39 

194 

8.18 

100.05 

239 

32.85 

72.50 

0.07 

0.48 

1.31 

0.36 

195 

8.11 

99.57 

30.21 

240 

34.16 

72.14 

18.31 

0.05 

0.50 

1.34 

0.33 

196 

8.06 

99.07 

0.39 

241 

35.50 

71.81 

1.20 

197 

8.02 

0.04 

98.55 

0.59 

242 

36.87 

1.37 

71.51 

0.30 

198 

8.00 

+0.02 

98.01 

0.54 

29.82 

243 

38.27 

1.40 

71.25 

0.26 

17.11 

199 

8.00 

0.00 

97.45 

0.56 

244 

39.70 

1.43 

71.02 

0.23 

-0.03 

0.57 

0.45 

1.46 

0.19 

1.24 

200 

-    8.03 

-  96.88 

245 

-  41.16 

-  70.83 

201 

8.08 

-0.05 

96.29 

+0.59 

29.37 

246 

42.65 

-1.49 

70.68 

+0.15 

15.87 

0.08 

0.60 

1.52 

0.11 

202 

8.16 

95.69 

0.52 

247 

44.17 

70.57 

1.28 

0.10 

0.62 

1.55 

0.08 

203 

8.26 

95.07 

248 

45.72 

70.49 

204 

8.39 

0.13 

94.44 

0.63 

28.85 

249 

47.30 

1.58 

70.46 

+0.03 

14.59 

0.15 

0.64 

1.60 

—  0.01 

205 

8.54 

93.80 

0.58 

250 

48.90 

70.47 

1.31 

0.18 

0.65 

1.62 

0.05 

206 

8.72 

93.15 

251 

50.52 

70.52 

207 

8.93 

0.21 

92.49 

0.66 

28.27 

252 

52.16 

1.64 

70.61 

0.09 

13.28 

0.24 

0.67 

1.66 

0.14 

208 

9.17 

91.82 

253 

53.82 

70.75 

0.27 

0.68 

1.68 

0.18 

209 

9.44 

91.14 

0.63 

254 

55.50 

70.93 

1.34 

0.29 

0.68 

1.69 

0.24 

210 

-    9.73 

-  90.46 

27.64 

255 

-  57.19 

-  7M7 

11.94 

211 

10.05 

-0.32 

89.77 

+0.69 

0.69 

256 

58.90 

-1.71 

71.45 

-0.28 

1.37 

212 

10.41 

0.36 

89.07 

0.70 

257 

60.63 

1.73 

71.79 

0.34 

0.39 

0.70 

1.75 

0  39 

213 

10.80 

88.37 

26.95 

258 

62.38 

72.18 

10.57 

0.42 

0.70 

1.76 

0  44 

214 

11.22 

87.67 

0.75 

259 

64.14 

72.62 

1.40 

0.45 

0.71 

1  78 

0  49 

215 

11.67 

86.96 

260 

65.92 

73.1] 

216 

12.15 

0.48 

86.25 

0.71 

26.20 

261 

67.70 

1.78 

73.66 

0.55 

9.17 

217 

12.67 

0.52 

85.55 

0.70 

0.80 

262 

69.49 

1.79 

74.26 

0.60 

1.43 

218 

13.22 

0.55 

84.84 

0.71 

263 

71.29 

1.80 

74.92 

0.66 

0.59 

0.70 

1.80 

0.71 

219 

13.81 

84.14 

25.40 

264 

73.09 

75.63 

7.74 

0.62 

0.70 

1.80 

0.77 

220 

-  14.43 

-  83.44 

0.86 

265 

-  74.89 

-  76.40 

1.45 

221 

15.08 

-0.65 

82.75 

+0.69 

266 

76.70 

-1.81 

77.23 

-0.83 

0.69 

0.69 

1.81 

fl  flQ 

222 

15.77 

82.06 

24.54 

267 

78.51 

78.12 

u.oy 

6.29 

223 

16.49 

0.72 

81.38 

0.68 

-0.91 

268 

80.31 

1.80 

79.07 

0.95 

—1.46 

224 

17.25 

0.76 

80.71 

0.67 

269 

82.11 

1.80 

80.09 

1.02 

225 

-  18.05 

-0.80 

-  80.05 

+-0.66 

+  23.63 

270 

-  83.90 

-1.79 

-  81.16 

-1.07 

+    4.83 

20 


TABLE    IV.—  Continued. 
PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

Terms  multiplied  with  t.     Argument  =  M. 

Arg. 

cl 
5 

Diff. 

»' 

Diff. 

C' 

Diff. 

Arg. 

? 

Diff. 

'/' 

Diff. 

V 

Diff. 

o 

O 

270 

-  83.90 

-  81.16 

+    4.83 

315 

-123.58 

-185.72 

-  16.30 

271 

85.68 

-1.78 

82.29 

-1.13 

-1.48 

316 

122.82 

+0.76 

188.78 

-3.06 

-1.15     [ 

1.78 

1.20 

0.86 

3.05 

272 

87.46 

83.49 

317 

121.96 

191.83 

273 

89.23 

1.77 

84.75 

1.26 

3.35 

318 

121.01 

0.95 

194.86 

3.03 

I 

17.45 

1.75 

1.32 

1  .05 

3.02 

274 

90.98 

86.07 

1.48 

319 

1  19.96 

197.88 

1.08    j 

275 

92.71 

1.73 

87.45 

1.38 

320 

118.82 

1.14 

300.88 

3.00 

1  .72 

1.45 

1.24 

2.98 

276 

94.43 

88.90 

1.67 

321 

in.  .is 

803.86 

18.53 

1.70 

1.51 

1.33 

2.96 

277 

96.13 

90.41 

1.49 

322 

116.25 

206.82 

1.02 

1.68 

1.56 

1.43 

2.93 

278 

97.81 

91.97 

323 

114.82 

209.75 

1.65 

1.63 

1  .f>:} 

2.90 

279 

99.46 

93.00 

+    0.38 

324 

113.30 

212.65 

19.55 

1.62 

1.69 

1.62 

2.86 

280 

-101.08 

-  95.29 

1.49 

:',2.1 

-111.68 

-21  :>..->  i 

0.95 

—1.60 

—1.75 

+1.71 

—2.83 

281 

102.68 

97.04 

326 

109.97 

218.34 

282 

104.24 

1.56 

98.86 

1.82 

1.11 

327 

108.16 

1.81 

221.12 

2.78 

20.50 

283 

105.7G 

1.02 

100.74 

1.88 

1.49 

328 

106.96 

1.90 

223.8S 

2.73 

0.88 

1.49 

1.94 

1.98 

2.69 

284 

107.25 

102.08 

329 

104.98 

226.54 

1.46 

1.99 

2.07 

2.65 

285 

108.71 

104.67 

2.60 

330 

102.21 

229.19 

21.38 

1.42 

2.05 

2.16 

2.57 

286 

110.13 

106.72 

1.48 

331 

100.05 

231.76 

0.81 

1.37 

2.12 

2.24 

2.53 

287 

111.50 

108.84 

332 

97.81 

2:14.29 

288 

112.82 

1.32 

111.01 

2.17 

4.08 

333 

95.48 

2.33 

236.74 

2.45 

22.19 

1.27 

2.23 

2.41 

2.39 

289 

114.09 

113.24 

334 

93.07 

239.13 

1.23 

2.28 

1.46 

2.49 

2.33 

0.73 

290 

-115.32 

-115.52 

335 

-  90.58 

-241.46 

291 

116.50 

-1.18 

117.86 

-2.34 

5.54 

336 

88.01 

+2.57 

243.70 

-2.24 

22.92 

1.12 

2.39 

2.65 

2.17 

292 

117.62 

120.25 

1.45 

337 

85.36 

945.87 

0.64 

1.06 

2.44 

2.72 

2.09 

293 

118.68 

122.69 

338 

83.64 

247.96 

1.01 

2.49 

2.79 

2.01 

294 

119.69 

125.18 

6.99 

339 

79.85 

249.97 

93.56 

0.95 

2.54 

2.86 

1.93 

295 

120.64 

127.72 

1.43 

340 

76.99 

251.90 

0.56 

296 

121.52 

0.88 

130.31 

2.59 

341 

74.06 

2.93 

2.13.74 

1.64 

297 

122.33 

0.81 

132.95 

2.64 

8.42 

342 

71.08 

2.98 

255.49 

1.75 

94.19 

0.74 

2.68 

3.04 

1.66 

298 

123.07 

135.63 

343 

68.04 

257.15 

0.68 

2.73 

3.10 

1.56 

299 

123.75 

138.36 

1.41 

344 

64.94 

958.7] 

0.47 

0.61 

2.76 

3.16 

1.47 

300 

-124.36 

-141.12 

9.83 

345 

-  61.78 

-260.18 

94.59 

301 

124.89 

-0.53 

143.92 

-2.80 

1.38 

346 

58.58 

+3.20 

2(ii.;  1.1 

-1.37 

0.38 

302 

125.34 

0.45 

146.76 

2.84 

347 

55.33 

3.25 

968.88 

1.27 

0.37 

2.87 

3.29 

1.17 

303 

186.71 

149.63 

11.21 

348 

52.04 

20:5.99 

24.97 

304 

126.00 

0.29 

152.53 

2.90 

1.34 

349 

48.71 

3.33 

265.05 

1.06 

0.29 

305 

126.21 

0.21 

155.46 

2.93 

350 

45.35 

3.36 

266.00 

0.95 

306 

126.34 

0.13 

158.41 

2.95 

12.55 

351 

41.96 

3.39 

966.85 

0.85 

2.1.20 

307 

126.38 

—0.04 

161.3!) 

2.98 

1.30 

352 

38.55 

3.41 

267.59 

0.74 

0.19 

308 

120.35 

+0.03 

164.39 

3.00 

353 

35.11 

3.44 

268.23 

0.64 

309 

126.22 

0.13 

167.41 

3.02 

13.85 

354 

31.65 

3.4C 

208.75 

0.52 

25.45 

0.21 

3.03 

1.25 

3.48 

0.41 

310 

-126.01 

-170.44 

355 

-  28.17 

-269.16 

0.10 

311 

125.71 

+0.30 

173.49 

-3.05 

356 

24.67 

+3.50 

269.45 

-0.29 

312 

125.32 

0.39 

176.54 

3.05 

15.10 

357 

21.18 

3.49 

269.64 

0.19 

85.65 

313 

124.83 

0.49 

179.59 

3.05 

-1.20 

358 

17.0!) 

3.49 

869.78 

-0.08 

-0.01 

314 

124.25 

0.58 

182.65 

3.06 

359 

14.19 

3.50 

2G9.C8 

+0.04 

315 

-123.58 

+0.67 

-185.72 

-3.07 

-  16.30 

360 

-  10.69 

+3.50 

-269.53 

+0.15 

-  25.56 

21 


TABLE    IV.—  Continued. 
PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 
ARGUMENT  I. 

Arg. 

r 

Dirt'. 

n1 

Diff. 

ff 

Diff. 

Arg. 

9 

Diff. 

' 

Diff. 

* 

Dill'. 

o 

O 

0 
1 

-  2528 
3360 

-832 

-15741 
15554 

+187 

-22 

0 

45 
46 

-  8100 
7700 

+706 

+13147 
13583 

+436 

+    19 

+  2 

2 

4180 

820 

1  5324 

230 

47 

G972 

728 

13982 

399 

3 

4987 

807 

15053 

271 

•2-2 

48 

0225 

747 

14342 

360 

21 

4 

5777 

790 

14740 

313 

+  i 

49 

5459 

766 

14661 

319 

1 

770 

354 

782 

280 

5 

0549 

1  13SO 

50 

4G77 

14941 

6 

7301 

752 

13993 

393 

21 

51 

3882 

795 

15179 

238 

22 

7 

8031 

730 

432 

5-2 

3077 

805 

15374 

195 

+    1 

8 

8736 

705 

13092 

469 

2 

53 

22G3 

814 

15528 

154 

!> 

9415 

679 

18588 

504 

19 

54 

1443 

820 

15639 

111 

23 

651 

539 

825 

67 

10 
1  1 

-10066 
10687 

-621 

-12049 

1  1477 

+572 

2 

55 
56 

-     618 

+    210 

+828 

+15700 
15730 

+  24 

0 

1-2 

11277 

590 

10874 

6o:t 

17 

57 

1038 

828 

15710 

-  20 

23 

13 

11834 

557 

102-12 

632 

3 

58 

1864 

826 

15648 

62 

-   1 

14 

18357 

523 

9583 

660 

59 

8685 

821 

15542 

106 

15 

18844 

487 

8896 

686 

14 

60 

3498 

813 

on- 

15394 

148 

22 

10 

13293 

449 

8185' 

711 

3 

61 

4303 

BUD 

15203 

191 

2 

41  1 

732 

794 

233 

17 

13704 

7453 

62 

5097 

14970 

372 

780 

274 

18 

14076 

6701 

11 

63 

5877 

14696 

20 

331 

771 

764 

314 

19 

14407 

5930 

64 

6641 

14382 

290 

raa 

3 

746 

353 

2 

20 

-14097 

-  5144 

65 

+  7387 

+14029 

81 

14945 

-248 

4:145 

+799 

8 

00 

8114 

+727 

13637 

-392 

18 

•22 

15151 

206 

3534 

810 

4 

67 

8819 

705 

13208 

429 

2 

23 

15313 

162 

2714 

.     820 

68 

9500 

681 

12743 

465 

84 

15438 

119 

1887 

827 

-    4 

69 

1015G 

656 

12243 

500 

16 

75 

832 

628 

534 

25 

15507 

1055 

4 

70 

10784 

11709 

3 

20 

15538 

-  31 

-     221 

83-1 

71 

1  1  :!,J3 

599 

11144 

565 

27 

15525 

+  13 

+     G13 

834 

0 

72 

11952 

569 

10518 

596 

13 

28 

15467 

58 

1445 

832 

73 

12488 

536 

9923 

625 

29 

153G6 

101 

2273 

828 

4 

74 

12990 

502 

9-272 

651 

4 

144 

820 

468 

676 

30 

-15383 

+  3093 

+    4 

75 

+13458 

+  6596 

9 

31 

1  5035 

+187 

3905 

+812 

3 

76 

13889 

+431 

7898 

-700 

4 

32 

14805 

230 

4705 

800 

77 

14283 

394 

7176 

720 

33 

145:!'.! 

272 

5491 

786 

7 

78 

14638 

355 

6436 

740 

5 

34 

14221 

312 

G2G2 

771 

4 

79 

14954 

316 

5678 

758 

4 

35 

13868 

353 

7015 

753 

80 

15229 

275 

490G 

772 

36 

1347G 

392 

7749 

734 

11 

81 

15464 

235 

4120 

786 

+      1 

37 

13046 

430 

8460 

711 

3 

82 

15G5G 

in 

3324 

796 

4 

38 

12580 

466 

9148 

688 

83 

15807 

151 

2519 

805 

39 

12078 

502 

9810 

662 

14 

84 

15916 

109 

1708 

811 

-      3 

536 

634 

66 

815 

4 

40 

-11542 

+10444 

3 

85 

+15982 

+    893 

41 

10973 

+569 

11049 

+605 

86 

10005 

+  23 

+      76 

-817 

599 

575 

—  20 

817 

42 

10374 

1  10-21 

17 

87 

15985 

-     741 

7 

4:i 

9745 

629 

12166 

542 

+  2 

88 

15922 

63 

1  555 

814 

-  4 

657 

508 

105 

44 

9088 

12674 

89 

15817 

2364 

45 

-    rlllO 

+682 

+13147 

4473 

+  19 

90 

+15670 

-147 

-  3167 

-803 

-     11 

22 


1 
TABLE  IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  I. 

Arg. 

e 

Diff. 

I1 

Diff'. 

f 

Diff. 

Arg. 

' 

Diff. 

V 

Diff. 

t 

Diff. 

0 

o 

90 

+15670 

-  3167 

-    11 

135 

-12126 

-  8574 

-  24 

91 

15481 

-189 

3960 

-793 

-  4 

13C 

12532 

-406 

7901 

+673 

+  3 

230 

782 

369 

693 

92 

15251 

4742 

137 

12901 

T'JO'"1 

271 

768 

332 

710 

93 

14980 

5510 

15 

138 

13233 

6498 

21 

311 

753 

292 

727 

94 

14669 

6263 

4 

139 

13525 

5771 

2 

349 

735 

254 

741 

95 

14320 

6998 

140 

13779 

5030 

387 

715 

213 

753 

96 

13933 

7713 

19 

141 

13992 

4277 

19 

424 

694 

172 

762 

97 

13509 

8407 

3 

142 

14164 

3515 

3 

459 

670 

132 

770 

98 

13050 

9077 

143 

1429C 

2745 

493 

645 

90 

775 

99 

12557 

9722 

22 

144 

14386 

1970 

1C 

526 

618 

48 

779 

100 

+12031 

-10340 

3 

145 

-14434 

-  1191 

3 

101 

11474 

-557 

10929 

-589 

14C 

14441 

—     ' 

-    411 

+780 

587 

559 

+  35 

778 

102 

10887 

11488 

25 

147 

14406 

+    367 

13 

615 

527 

77 

774 

103 

10272 

12015 

3 

148 

14329 

1141 

2 

104 

9630 

642 

12509 

494 

149 

14210 

119 

1910 

769 

666 

459 

159 

761 

105 

8964 

12968 

28 

150 

14051 

2671 

11 

106 

8275 

689 

13392 

424 

2 

151 

13850 

201 

3422 

751 

3 

709 

387 

240 

739 

107 

7566 

13779 

152 

13610 

4161 

728 

349 

279 

725 

108 

6838 

14128 

30 

153 

13331 

4886 

8 

745 

310 

318 

708 

109 

6093 

14438 

154 

13013 

5594 

759 

270 

1 

355 

690 

1 

110 

+  5334 

-14708 

155 

-12658 

+  6284 

111 

4562 

—772 

14938 

-230 

31 

156 

12266 

+392 

6954 

+670 

7 

112 

3780 

782 

15128 

190 

-    1 

157 

11839 

427 

7601 

647 

2 

113 

2990 

790 

15276 

148 

158 

11378 

46; 

8224 

623 

114 

2194 

796 

15382 

106 

32 

159 

10885 

493 

8822 

598 

5 

801 

65 

525 

570 

115 

1393 

15447 

0 

160 

103CO 

9392 

1 

116 

+    591 

802 

154C9 

—  22 

161 

9805 

555 

9933 

541 

801 

—  19 

584 

510 

117 

-    210 

15450 

32 

162 

9221 

10443 

4 

118 

1008 

798 

15388 

62 

163 

8611 

610 

10921 

478 

119 

1801 

793 

15285 

103 

0 

164 

7976 

635 

11366 

445 

+    1 

786 

145 

658 

409 

120 
121 

-  2587 
33C3 

-776 

-15140 
14955 

+185 

32 

+    1 

165 

166 

-  7318 
GG39 

+679 

+11775 
12149 

+374 

3 

0 

122 

4128 

765 

14729 

226 

167 

5941 

698 

12486 

337 

752 

265 

715 

OQO 

123 

4880 

14464 

31 

168 

522G 

12784 

•jyo 

3 

124 

5615 

735 

14159 

305 

1 

169 

4495 

731 

13044 

260 

125 

6332 

717 

13817 

342 

170 

;!751 

744 

13263 

219 

126 

7030 

698 

13438 

379 

30 

171 

2996 

755 

13443 

180 

4 

127 

7707 

677 

13023 

415 

2 

172 

2233 

763 

13582 

139 

1 

653 

450 

770 

Q7 

128 

8360 

12573 

173 

1463 

13679 

Wf 

129 

8987 

627 

12090 

483 

28 

174 

-    689 

774 

13735 

56 

5 

600 

516 

776 

+  14 

130 

-  9587 

-11574 

2 

175 

+      87 

+13749 

2 

131 

10158 

—571 

CAl 

11029 

+545 

176 

863 

+776 

13721 

-  28 

132 

10699 

O41 

10455 

574 

2G 

177 

1637 

774 

13652 

69 

7 

133 

11208 

509 

9853 

602 

+  2 

178 

2407 

770 

13540 

112 

-  2 

134 

11684 

476 

9225 

628 

179 

3169 

762 

13388 

152 

135 

-12126 

-442 

-  H.7M 

+651 

-  24 

180 

+  3922 

+753 

+13195 

-193 

-     !) 

23 


UNIVERSITY 


TABLE    IV.  —  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  I. 

Arg. 

P 

Diff. 

*' 

Diff. 

P 

Dill1. 

Arg. 

? 

Diff. 

¥ 

Diff. 

ff 

Diff. 

0 

0 

180 

+  3922 

+13195 

-    9 

225 

+  5845 

-14504 

-  44 

—O34 

—  751 

—345 

181 

4G6'i 

12961 

-  2 

226 

5094 

14849 

+  2 

729 

974 

769 

306 

182 

5393 

12687 

227 

4325 

15155 

714 

313 

786 

267 

183 

6107 

12374 

11 

-228 

3539 

15422 

42 

184 

6803         6<J6 

12024 

350 

3 

229 

2739 

800 

15647 

225 

2 

676 

388 

813 

183 

185 

7479 

11636 

230 

1926 

15830 

425 

823 

141 

186 

8134 

11211 

14 

231 

1103 

15971 

40 

fi'jO 

459 

830 

99 

187 

8766 

10752 

3 

232 

+    273 

16070 

3 

493 

836 

55 

188 

9372 

10259 

233 

-    563 

16125 

579 

525 

839 

—  12 

189 

9951 

9734 

17 

234 

1402 

16137 

37 

550 

556 

840 

+  32 

190 

+10501       ^^ 

+  9178 

4 

235 

-  2242 

-16105 

4 

—586 

—839 

+  76 

191 

11021 

8592 

236 

3081 

16029 

489 

613 

835 

118 

192 

11510 

7979 

21 

237 

3916 

15911 

33 

455 

639 

830 

163 

193 

11965 

7340 

3 

238 

4746 

15748 

5 

194 

12385 

420 

6677 

663 

239 

5567 

821 

15543 

205 

384 

686 

811 

248 

195 

12769 

5991  ' 

24 

240 

6378 

15295 

28 

347 

706 

798 

290 

196 

13116 

5285 

4 

241 

7176 

'  15005 

6 

309 

724 

783 

332 

197 

13425 

4561 

•  242 

7959 

1  4673 

270 

741 

767 

372 

198 

13695 

3820 

28 

243 

8726 

14301 

22 

230 

755 

748 

412 

199 

13925 

3065 

244 

9474 

13889 

190 

768 

3 

726 

450 

6 

200 

+14115 

+  2297 

245 

-10200 

-13439 

201 

14263 

+148 

1520 

-777 

31 

246 

10904 

-704 

12951 

+488 

16 

106 

786 

679 

524 

202 

14369 

+    734 

4 

247 

11583 

12-127 

7 

64 

791 

651 

560 

203 

14433 

-       57 

248 

12234 

11867 

204 

14455 

+  22 

651 

794 

35 

249 

12857 

623 

11274 

593 

9 

22 

796 

592 

625 

205 

14433 

1647 

3 

250 

13449 

10649 

7 

64 

794 

561 

656 

206 

14369 

2441 

251 

14010 

9993 

207 

14263 

106 

3232 

791 

38 

252 

14537 

527 

9309 

684 

-    2 

150 

786 

491 

712 

208 

14113 

4018 

253 

15028 

8597 

191 

777 

455 

737 

209 

13922 

4795 

2 

254 

15483 

7860 

7 

232 

768 

417 

760 

210 

+13690 

-  5563 

40 

255 

-15900 

-  7100 

+     5 

211 

13416 

—274 

6319 

—756 

2 

256 

16278 

-378 

6318 

+782 

7 

314 

741 

338 

801 

212 

13102 

7060 

257 

16616 

5517 

353 

725 

297 

819 

213 

12749 

7  7  s  ."> 

42 

258 

16913 

4698 

12 

214 

12357 

392 

8491 

706 

2 

259 

17167 

254 

3864 

834 

8 

215 

11927 

430 

9177 

686 

260 

17379 

212 

3017 

847 

216 

11460 

467 

9840 

663 

44 

261 

17548 

169 

2159 

858 

20 

217 

10958 

502 

10479 

639 

-   1 

262 

17672 

124 

1293 

866 

7 

536 

612 

80 

870 

218 

10422 

11091 

263 

17752 

-    420 

to 

568 

584 

—  35 

876 

219 

9854 

11675 

45 

264 

17787 

+    456 

27 

600 

555 

+    9 

878 

220 

+  9254 

-12230 

0 

265 

-17778 

+  1334 

8 

221 

8624 

—630 

12753 

—523 

266 

17723 

+  55 

2212 

+878 

222 

7967 

657 

13244 

491 

45 

267 

17624 

99 

3087 

875 

35 

223 

7283 

684 

13700 

456 

+   1 

268 

17480 

144 

3956 

869 

+  7 

708 

420 

188 

862 

224 

6575 

14120 

269 

17292 

4818 

225 

+  5845 

-730 

-14504 

-384 

-  44 

270 

-17060 

4-232 

+  5671 

+853 

+  42 

24 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH   DECIMAL. 

AKGl.MK.NT   I. 

Arg. 

' 

Diff. 

n> 

Diff. 

V 

Diff. 

Arg. 

f 

Diff. 

>/ 

Diff. 

P 

Diff- 

0 

270 

-17060 

+  5671 

+  42 

O 

+14682 

-I-   !l!C.-> 

+  4s 

271 

16784 

+276 

6511 

+840 

+  6 

316 

15136 

+454 

-764 

—  0 

319 

826 

414 

785 

272 

16405 

7337 

317 

15550 

8426 

273 

10104 

361 

8146 

809 

48 

318 

15923 

373 

7681 

805 

4-2 

402 

791 

331 

274 

15702 

8937 

6 

319 

16254 

6799 

6 

275 

15260 

442 

9707 

770 

320 

105-12 

288 

5901 

838 

276 

14779 

481 

10454 

747 

54 

321 

16786 

244 

5111 

850 

3C 

277 

14260 

519 

11170 

722 

5 

322 

16986 

200 

4250 

961 

6 

278 

13705 

555 

11872 

696 

323 

17142 

156 

3380 

870 

279 

13115 

590 

12539 

007 

59 

324 

17252 

110 

2505 

875 

30 

624 

636 

65 

879 

260 

-12491 

+13175 

4 

325 

+17317 

+  1020 

, 

281 

11835 

+656 

13780 

+605 

326 

17337 

+  20 

+     745 

-881 

282 

11149 

686 

14351 

571 

03 

327 

17::  12 

-  25 

880 

23 

283 

10434 

715 

14887 

536 

3 

328 

17241 

71 

1011 

876 

6 

284 

9699 

742 

15380 

499 

17125 

116 

1882 

871 

285 

8926 

766 

15847 

461 

00 

330 

1G905 

100 

•2715 

863 

17 

286 

8137 

789 

10209 

422 

3 

331 

16760 

205 

3598 

8S3 

. 

287 

7327 

810 

16051 

382 

• 

333 

10511 

249 

4438 

840 

288 

6498 

829 

10991 

340 

09 

333 

10220 

291 

5263 

825 

10 

289 

5653 

845 

17289 

298 

334 

15887 

333 

6072 

809 

859 

265 

1 

374 

790 

0 

290 

-  4794 

+17544 

335 

+15513 

-  6662 

291 

3922 

+872 

177.-..-, 

+211 

70 

336 

15099 

•=-414 

7630 

-768 

+     4 

292 

3041 

881 

17921 

166 

+    1 

337 

14646 

453 

8376 

746 

5 

293 

2152 

889 

18043 

122 

338 

14156 

490 

9097 

721 

294 

1258 

894 

18120 

77 

71 

339 

13630 

526 

9790 

093 

_      I 

295 

362 

896 

18151 

+  31 

-   1 

340 

13069 

561 

10455 

005 

5 

296 

+    535 

897 

18137 

—  14 

341 

12475 

594 

11089 

634 

297 

1430 

895 

18077 

60 

70 

342 

11849 

626 

11091 

602 

0 

298 

2321 

891 

1  7972 

105 

1 

343 

11193 

656 

12259 

568 

299 

3205 

."  i 

17823 

149 

344 

10510 

881 

12793 

534 

r, 

875 

195 

709 

497 

300 
301 

+  4080 
4944 

+864 

+17628 
17389 

-239 

69 

3 

345 
346 

9067 

-734 

-13290 
13748 

T458 

11 

4 

302 

5794 

850 

Doe 

17107 

282 

347 

8311 

756 

14108 

420 

303 

6629 

B08 

RT7 

16783 

324 

00 

348 

7835 

776 

14548 

380 

15 

304 

7446 

ol  * 
7Qfi 

10416 

367 

3 

349 

6741 

794 

14886 

338 

., 

305 

8242 

IIW 

—-  f 

16008 

408 

350 

5933 

809 

15183 

297 

306 

9017 

1  'O 
Tftl 

15561 

447 

G3 

351 

5109 

15437 

254 

18 

307 

9768 

fOl 

15075 

486 

4 

352 

4275 

8H4 

15647 

210 

2 

308 

10492 

RQfi 

14552 

523 

353 

3432 

843 

15814 

167 

309 

11188 

MB 

13993 

559 

59 

354 

2582 

850 

15937 

123 

20 

667 

593 

854 

79 

310 

+11855 

+635 

+13400 

5 

355 

+  1728 

-10016 

1 

311 

12490 

602 

12774 

—626 

356 

871 

-857 

10050 

-  34 

312 

13092 

567 

12116 

658 

54 

357 

+      10 

855 

10039 

+  11 

3 

313 

13659 

11429 

687 

-  6 

358 

-    838 

854 

15984 

55 

-    1 

314 

14189 

° 

10715 

714 

359 

1667 

849 

15884 

100 

315 

+14682 

+  9975 

—740 

+  48 

300 

-  2E28 

-841 

-15741 

+143 

-  2 

25 


TABLE    IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  II. 

Arg. 

* 

Diff. 

¥ 

Dill'. 

f 

Diff. 

Arg. 

t 

Diff. 

¥ 

Diff. 

C' 

Diff. 

0 

0 

0 

+  3698 

-14558 

-  04 

45 

+12944 

-  8037 

-287 

1 

3953 

+255 

14500 

+  58 

-18 

46 

13077 

+133 

7817 

+220 

-10 

253 

63 

128 

222 

2 

4200 

14437    I 

47 

13205 

7595 

252 

67 

125 

225 

3 

4458 

14370 

82 

48 

13330 

7370 

297 

251 

71 

121 

227 

4 

4709 

14899 

17 

49 

13451 

7143 

9 

249 

76 

116 

229 

5 

4958 

14223 

50 

13507 

6914 

248 

80 

113 

231 

6 

5206 

14143 

99 

51 

13080 

6683 

300 

246 

H". 

108 

233 

7 

5452 

14058 

18 

52 

13788 

6450 

9 

8 

5090 

244 

13970 

88 

53 

13892 

104 

6215 

235 

243 

93 

100 

237 

9 

5939 

13877 

117 

54 

13992 

5978 

315 

241 

97 

96 

239 

10 

+  6180 

-13780 

17 

55 

+14088 

-  5739 

7 

11 

6419 

+239 

13678 

+  102 

50 

14179 

+  91 

5498 

+241 

237 

105 

87 

242 

12 

6656 

13573 

134 

57 

14206 

5256 

322 

235 

110 

83 

244 

13 

6891 

13463 

16 

58 

14349 

5012 

7 

9.T9 

1  13 

78 

245 

14 

7123 

13350 

59 

14427 

4767 

231 

1  1H 

247 

15 

7354 

13032 

150 

GO 

14501 

4520 

329 

228 

121 

70 

248 

10 

7582 

13111 

17 

01 

14571 

4272 

5 

226 

126 

65 

250 

17 

7808 

12985 

02 

14636 

4022 

18 

8032 

224 

12855 

130 

L67 

03 

14696 

60 

3771 

251 

334 

221 

133 

252 

19 

8253 

12722 

04 

14753 

3519 

219 

137 

It 

52 

253 

5 

20 
21 

+  8472 
8688 

+216 

-12585 
12443 

+142 

182 

05 
66 

+14805 
14852 

+  47 

-  3266 
3012 

+254 

339 

22 

8902 

214 

12298 

145 

16 

67 

14895 

43 

2757 

255 

4 

21  1 

148 

38 

255 

23 

9113 

12150 

68 

14933 

2502 

24 

9321 

208 

11997 

153 

198 

69 

14967 

34 

2245 

257 

343 

205 

156 

29 

257 

25 

9696 

11841 

14 

70 

14990 

1988 

3 

20 

9728 

202 

11682 

159 

71 

15021 

25 

1730 

258 

27 

9927 

199 

11518 

164 

212 

72 

15041 

20 

1472 

258 

346 

28 

10124 

1117 

11352 

166 

73 

15050 

15 

1213 

259 

29 

10317    |      la<> 

iiiea 

170 

15 

74 

15007 

11 

954 

259 

1 

190 

174 

6 

260 

30 
31 

+10507 
10694 

+187 

-11008 
10831 

+177 

227 

13 

75 
76 

+15073 
15075 

+    2 

-     094 
434 

+960 

347 

—  1 

183 

180 

| 

_      o 

260 

32 

10877 

10051 

77 

15072 

-     174 

33 

11058 

181 

10408         !" 

240 

78 

15005 

7 

+      80 

260 

348 

34 

1  1235 

177 

10282 

1«6 

13 

79 

15053 

12 

340 

260 

0 

35 

11408 

10092 

190 

80 

15037 

16 

605 

259 

30 

11578 

9899 

193 

253 

81 

15010 

21 

865 

260 

348 

37 

11744 

100 

9704 

195 

12 

•  82 

14990 

26 

1125 

260 

+  1 

38 

1  1907 

163 

9505 

199 

83 

14900 

30 

1384 

259 

39 

12067 

160 

9303 

202 

265 

84 

14925 

35 

1042 

258 

347 

155 

204 

39 

259 

40 
41 

+12222 
12374 

+152 

-  HIM  HI 
8892 

+207 

12 

85 
86 

+14880 
14842 

-  44 

+  1901 
2158 

+257 

1 

42 

12523 

149 

8082 

210 

277 

87 

14794 

48 

2415 

257 

346 

43 

12667 

144 

8470 

212 

-10 

88 

14741 

53 

2071 

256 

+  3 

44 

12807 

140 

8255 

215 

89 

14084 

57 

2927 

256 

45 

+18944 

+137 

-  8037 

+218 

-287 

90 

+14023 

-  61 

+  3181 

+254 

-343 

26 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  II. 

Arg. 

« 

s 

DifV. 

rf 

Diff. 

f 

Diff. 

Arg. 

C7 

s 

Diff. 

,/ 

Diff. 

:' 

Diff. 

O 

0 

~1 

90 

+14623 

+  3181 

•-343 

135 

+  7759 

+125GO 

-197 

91 

14557 

-  66 

3435 

+254 

+  4 

136 

7532 

-237 

12700 

+140 

+  15 

71 

S53 

229 

135 

92 

14486 

3688 

137 

7803 

12835 

75 

251 

231 

131 

93 

14411 

3939 

339 

138 

7072 

12960 

189 

79 

250 

234 

127 

94 

14332 

4189 

5 

139 

6838 

13093 

16 

95 

14248 

84 

4438 

249 

140 

GG03 

235 

13217 

CM 

96 

14160 

88 

4686 

248 

334 

141 

6365 

238 

13336 

119 

106 

97 

14068 

H 

4932 

246 

6 

142 

6126 

239 

13453 

116 

16 

98 

13971 

97 

5177 

245 

143 

5884 

Ml 

13663 

111 

99 

13870 

101 

5421 

244 

328 

144 

5G41 

243 

13670 

107 

150 

105 

241 

245 

103 

100 

+13765 

+  5G62 

6 

145 

+  5396 

+13773 

17 

101 

1365G 

-109 

6903 

+240 

14G 

5150 

-246 

1387S 

+  99 

102 

13543 

113 

GUI 

239 

322 

147 

4902 

248 

139GG 

94 

133 

103 

13426 

117 

G377 

236 

8 

148 

4652 

250 

14  050 

90 

,. 

104 

13304 

12-2 

6G11 

234 

149 

4401 

251 

14142 

86 

105 

13178 

186 

6843 

232 

314 

150 

4148 

253 

14224 

82 

110 

106 

13049 

129 

7074 

231 

8 

151 

3895 

253 

14301 

77 

17 

107 

13915 

134 

7302 

228 

152 

3G40 

255 

14374 

73 

108 

12778 

137 

7528 

226 

306 

153 

3383 

257 

14443 

69 

99 

109 

12637 

141 

7751 

223 

154 

312G 

257 

14507 

64 

146 

222 

9 

258 

60 

18 

110 

+12491 

+  7973 

165 

+  28G8 

+14567 

111 

12342 

—149 

8192 

+219 

297 

156 

2G09 

-259 

14622 

+55 

81 

112 

12190 

153 

8408 

216 

10 

157 

2350 

259 

14673 

51 

18 

113 

12033 

157 

8622 

214 

158 

2089 

261 

14719 

46 

114 

11873 

160 

8833 

211 

287 

159 

1828 

261 

14761 

42 

63 

115 

11709 

164 

9042 

209 

11 

160 

1566 

262 

14798 

37 

18 

110 

11542 

167 

9248 

206 

1G1 

1304 

262 

14831 

33 

117 

11371 

171 

9451 

203 

276 

162 

1041 

263 

14860 

29 

45 

118 

11197 

174 

9651 

200 

163 

778 

263 

14884 

24 

119 

11019 

178 

9848 

197 

11 

164 

515 

263 

14903 

19 

18 

181 

195 

263 

14 

120 
121 

+10838 
10653 

-185 

+10043 
10234 

+191 

2G5 

12 

165 
166 

+    252 
12 

-264 

+14917 
14927 

+  10 

27 

18 

122 

104CG 

187 

10422 

188 

167 

275 

263 

14933 

6 

123 

10275 

191 

10607 

185 

253 

168 

539 

264 

14934 

+     1 

-     9 

124 

10081 

194 

10789 

182 

13 

169 

802 

263 

14930 

-     4 

18 

125 

9884 

197 

10967 

178 

170 

1065 

263 

14929 

8 

126 

9684 

200 

11142 

175 

240 

171 

1328 

263 

14910 

12 

+     9 

127 

9481 

203 

11314 

172 

14 

172 

1590 

262 

14893 

17 

19 

128 

9275 

206 

11483 

169 

173 

1852 

262 

14871 

22 

129 

9067 

208 

11647 

164 

226 

174 

2113 

261 

14844 

27 

28 

212 

162 

261 

31 

130 
131 

+  8855 
8641 

-214 

+11809 
119G7 

+158 

14 

175 
17G 

-  2374 
2634 

-260 

+14813 
14778 

-  35 

18 

132 

8424 

217 

12121 

154 

212 

177 

2894 

260 

14739 

39 

46 

133 

8205 

219 

12271 

150 

+  15 

178 

3152 

258 

14695 

44 

+  18 

134 

7983 

222 

12418 

147 

179 

3409 

257 

14646 

49 

135 

-f  77.V.( 

—224 

i  rj.-,oi) 

+144 

-197 

180 

-  3666 

-257 

+14592 

-  54 

+    G4 

27 


TABLE    IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  II. 

Arg. 

* 

Diff. 

r,' 

Diff. 

C' 

Diff. 

Arg. 

f 

Diff. 

I1 

Diff. 

P 

Diff. 

0 

O 

180 

-  3666 

+14592 

+    04 

225 

-12966 

+  8052 

+  287 

181 

3921 

-255 

14535 

-  57 

+  IS 

226 

13100 

-134 

7831 

-221 

+  10 

254 

63 

129 

224 

182 

4175 

14472 

227 

13229 

7607 

253 

67 

126 

226 

183 

4428 

14405 

82 

228 

13355 

7381 

297 

252 

71 

122 

228 

184 

4680 

14334 

17 

229 

13477 

7153 

9 

350 

117 

230 

185 

4930 

14259 

230 

13594 

6923 

249 

80 

114 

233 

186 

5179 

14179 

99 

231 

13708 

6690 

306 

247 

84 

109 

234 

187 

5426 

14095 

18 

232 

13817 

6456 

9 

245 

89 

105 

237 

188 

5671 

14006 

233 

13922 

6219 

244 

93 

101 

238 

189 

5915 

13913 

117 

234 

14023 

5981 

315 

242 

97 

96 

240 

190 

-  6157 

+13816 

17 

235 

-14119 

+  5741 

7 

191 

6397 

-240 

1  37  1  5 

-101 

236 

14211 

-  92 

5499 

-242 

238 

105 

88 

244 

192 

6635 

13610 

134 

237 

14299 

5255 

322 

236 

110 

84 

245 

193 

6871 

13500 

16 

238 

14383 

5010 

7 

234 

113 

79 

247 

194 

7105 

L3387 

239 

14462 

4763 

232 

118 

248 

195 

7337 

13269 

150 

240 

14537 

4515 

329 

229 

122 

70 

249 

196 

75GC 

13147 

17 

,  241 

14607 

4206 

5 

228 

126 

65 

251 

197 

77114 

13021 

242 

14G72 

4015 

225 

130 

61 

252 

198 

8019 

18891 

167 

243 

14733 

3763 

334 

222 

133 

57 

253 

199 

.-2  1  1 

18758 

244 

14790 

3510 

220 

138 

15 

52 

255 

5 

200 

-  8461 

+12620 

245 

-14842 

+  3255 

201 

8679 

-218 

12478 

-142 

182 

246 

14890 

-  48 

3000 

-255 

339 

215 

145 

43 

256 

202 

8894 

12333 

16 

247 

14933 

2744 

4 

212 

149 

39 

257 

803 

9106 

13184 

248 

14972 

2487 

209 

153 

34 

258 

204 

9315 

12031 

198 

249 

15006 

222!  I 

343 

206 

157 

29 

258 

205 

9521 

11874 

14 

250 

15035 

J971 

3 

204 

]60 

25 

259 

206 

9726 

11714 

251 

15060 

1712 

201 

164 

20 

260 

207 

9926 

11550 

212 

252 

15080 

1452 

346 

198 

167 

16 

260 

208 

10124 

11383 

253 

15096 

1192 

1 

194 

171 

11 

260 

209 

10318 

11212 

15 

254 

15107 

932 

. 

192 

174 

6 

260 

210 

-10510 

+11038 

227 

255 

-15113 

-i-     (172 

347 

188 

—  178 

—    2 

211 

10698 

108GO 

13 

256 

15115 

411 

+    1 

185 

181 

+     3 

261 

212 

10883 

10G79 

257 

15112 

+     150 

182 

184 

g 

261 

213 

11065 

104115 

240 

258 

15104 

-    Ill 

348 

178 

187 

12 

261 

214 

11243 

10308 

13 

'  259 

15092 

372 

0 

175 

191 

17 

260 

215 

11418 

10117 

260 

15075 

632 

171 

193 

22 

261 

216 

11589 

9924 

253 

261 

15053 

893 

348 

168 

197 

26 

260 

217 

11757 

9727 

12 

2G2 

15027 

1153 

—    1 

164 

200 

30 

^60 

213 

11981 

11527 

263 

14997 

1413 

219 

12082 

161 

9325 

202 

205 

264 

14962 

35 

1673 

260 

347 

157 

206 

40 

258 

220 

-12239 

+  9119 

12 

265 

-14922 

-  1931 

1 

221 

12392 

-153 

8911 

-208 

266 

14878 

+  44 

2190 

-259 

149 

211 

49 

257 

222 

18641 

8700 

277 

267 

14829 

2417 

346 

145 

214 

53 

257 

223 

12086 

8486 

+  10 

268 

1477G 

2704 

—    3 

221 

12828 

142 

8270 

216 

269 

14718 

58 

2960 

256 

285 

-12966 

-138 

+  8052 

-218 

+  287 

270 

-14G55 

+  63 

-  3216 

-256 

+  343 

28 


TABLE    IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL, 

ARGUMENT  II. 

Arg. 

r 

Diff. 

j 

Diff. 

V 

Diff. 

Arg. 

' 

Diff. 

V 

Diff. 

' 

Diff. 

0 

270 
271 

-14655 

14588 

+  67 

-  3216 
3470 

-2.14 

+  343 

-    4 

315 
316 

-  7737 
7509 

+228 
230 

-12575 
12713 

-138 
134 

•    I'.IT 

-  15 

272 

14517 

71 

3722 

252 

317 

7279 

o*lo 

19847 

1  VI 

273 

14441 

76 

3974 

252 

339 

318 

7047 

JKfS 

19977 

loU 

[83 

80 

251 

235 

126 

274 

14361 

4225 

5 

319 

6812 

236 

13103 

16 

275 

14276 

85 

4474 

249 

320 

0570 

13385 

276 

14187 

89 

4722 

248 

334 

321 

6337 

239 

13343 

118 

100 

277 

14094 

93 

4969 

247 

6 

322 

6097 

240 

13457 

114 

16 

QQ 

245 

243 

110 

278 

13996 

yo 

5214 

323 

5854 

13567 

279 

13895 

101 

5457 

243 

328 

324 

5610 

244 

13073 

106 

150 

107 

242 

246 

its 

280 

-13788 

-  5699 

6 

325 

-  5364 

—13775 

17 

281 

13678 

+110 

5939 

-240 

326 

5117 

-1-247 

13878 

-  97 

282 

13564 

114 

6177 

238 

322 

327 

4868 

249 

13965 

93 

133 

119 

237 

250 

89 

283 

13445 

6414 

8 

328 

4618 

14054 

17 

284 

13322 

123 

6648 

234 

329 

4366 

252 

14139 

85 

126 

232 

253 

80 

285 

13196 

6880 

230 

314 

330 

4113 

255 

14'.'  19 

76 

110 

286 

13065 

' 

7110 

8  • 

331 

3858 

14295 

17 

135 

228 

255 

72 

287 

12930 

7378 

332 

3603 

14367 

139 

226 

67 

288 

12791 

7504 

306 

333 

3346 

14434 

DO 

142 

223 

257 

63 

289 

12649 

7787 

334 

3089 

14497 

147 

221 

9 

259 

59 

18 

290 

-12502 

-  8008 

335 

-  2830 

-14666 

291 

12352 

+150 

8227 

-219 

297 

336 

2571 

+259 

14010 

-  54 

81 

154 

216 

260 

49 

292 

12198 

8443 

10 

337 

2311 

14659 

18 

158 

213 

261 

45 

293 

12040 

8656 

338 

2050 

14704 

162 

211 

261 

41 

394 

11878 

8867 

287 

339 

1789 

14745 

63 

165 

208 

262 

37 

295 

11713 

9075 

11 

340 

1527 

14782 

18 

169 

205 

262 

32 

296 

11544 

9280 

341 

1265 

14814 

172 

202 

263 

27 

297 

11372 

9482 

276 

342 

1002 

14841 

45 

298 

11197 

175 

9682 

200 

343 

739 

263 

14863 

13 

179 

196 

263 

18 

299 

11018 

9878 

11 

344 

476 

14881 

18 

183 

194 

264 

14 

300 

-10835 

-10072 

265 

345 

-    212 

-14895 

27 

301 

10650 

+185 

10263 

-191 

12 

346 

+       51 

+263 

14904 

-     9 

18 

189 

187 

263 

—     5 

302 

10461 

10450 

347 

314 

14909 

193 

184 

263 

0 

303 

10268 

10634 

253 

348 

577 

14909 

+      9 

195 

181 

263 

+     5 

304 

10073 

10815 

13 

349 

840 

14904 

18 

198 

178 

263 

g 

305 

9875 

10993 

350 

1103 

14895 

202 

174 

263 

13 

306 

9673 

11107 

240 

351 

1366 

14882 

9 

204 

171 

262 

18 

307 

9469 

11338 

14 

352 

1628 

14864 

19 

207 

167 

261 

23 

308 

9262 

11505 

353 

1889 

14841 

210 

164 

261 

27 

309 

9052 

1  1609 

226 

354 

2150 

14814 

28 

213 

160 

260 

31 

310 
311 

-  8839 
8624 

+215 

-11829 
11986 

-157 

14 

355 
356 

+  2410 
2670 

+560 

-J4783 
14747 

+  36 

18 

218 

153 

258 

41 

312 

8406 

12139 

212 

357 

2928 

14706 

46 

313 

8185 

221 

12288 

149 

-  15 

358 

3186 

258 

14061 

45 

-  18 

314 

7902 

223 

12433 

145 

359 

3443 

257 

14612 

49 

315 

-  7737 

+225 

-12575 

-142 

+  197 

360 

+  3698 

+255 

-  14558 

+  54 

-    64 

29 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  111. 

Arg. 

f 

Diff. 

I1 

Diff. 

V 

Diff. 

Arg. 

P 

Diff. 

V 

Diff. 

P 

Diff. 

0 

O 

0 

-  3825 

-  3624 

+    18 

45 

-  5201 

+     126 

+  2 

—  61 

4-  68 

+     5 

•f  91 

1 

3886 

3556 

46 

5196 

217 

61 

69 

5 

90 

2 

3947 

3487 

47 

5190 

307 

3 

4000 

59 

3417 

70 

+    5 

48 

5183 

7 

398 

91 

+    46 

4 

4063 

57 

3347 

70 

49 

5174 

9 

488 

90 

5 

4120 

57 

3275 

72 

50 

5163 

11 

579 

91 

1 

55 

73 

12 

90 

0 

4175 

3909 

23 

51 

5151 

009 

7 

422!) 

54 

3129 

73 

52 

5137 

14 

759 

90 

53 

75 

15 

89 

8 

4282 

3054 

53 

5122 

848 

9 

4333 

51 

2979 

75 

54 

5105 

17 

938 

90 

47 

50 

77 

4 

18 

89 

10 

-  4383 

-  2902 

55 

-  5087 

+  1027 

11 

4432 

-  49 

2825 

+  77 

56 

5007 

+  20 

1115 

+  88 

1 

47 

78 

O4 

RQ 

19 

4479 

2747 

27 

57 

5045 

1204 

oy 

46 

79 

^3 

88 

13 

4525 

2668 

58 

5022 

1399 

44 

80 

24 

87 

14 

4509 

2588 

59 

4998 

1379 

15 

4012 

43 

2508 

80 

4 

60 

4972 

26 

1406 

87 

48 

41 

81 

27 

87 

10 

4053 

2427 

61 

4945 

1553 

17 

4693 

40 

2345 

82 

02 

4910 

29 

1639 

86 

18 

4732 

39 

2263 

82 

31 

63 

4886 

30 

1725 

86 

+  1 

19 

4709 

37 

2180 

83 

64 

4854 

32 

1810 

85 

36 

84 

33 

84 

20 

-  4805 

-  2096 

4 

65 

-  4821 

+  1894 

21 

4839 

-  34 

2011 

+  85 

66 

4786 

+  35 

1978 

+  84 

49 

22 

4872 

33 

1926 

85 

07 

4750 

36 

2062 

84 

23 

4903 

31 

1841 

85 

68 

4713 

37 

2144 

82 

94 

4933 

30 

1755 

86 

35 

69 

4674 

39 

2226 

82 

0 

25 

4901 

28 

1668 

87 

70 

4034 

40 

2308 

82 

26 

4988 

27 

1581 

87 

71 

4593 

41 

9389 

81 

27 

5013 

25 

1494 

87 

3 

72 

4550 

43 

2468 

79 

49 

28 

5037 

24 

1406 

88 

73 

4500 

44 

2548 

80 

29 

5059 

22 

1317 

89 

74 

4460 

46 

2020 

78 

20 

88 

47 

78 

-  1 

30 

-  5079 

-  1229 

38 

75 

-  4413 

+  2704 

31 

5098 

—  19 

1140 

+  89 

70 

4365 

4-  48 

2780 

+  76 

32 

5116 

18 

1051 

89 

77 

4316 

49 

2850 

76 

33 

5132 

16 

961 

90 

3 

78 

4265 

51 

2932  ' 

76 

48 

34 

5146 

14 

871 

90 

79 

4213 

52 

3000 

74 

35 

5159 

13 

781 

90 

80 

4160 

53 

3079 

73 

36 

5170 

11 

091 

90 

41 

81 

4105 

55 

3151 

72 

1 

37 

5180 

10 

600 

91 

82 

4050 

55 

3933 

72 

38 

5188 

8 

510 

90 

83 

3993 

57 

3293 

70 

39 

5194 

6 

419 

91 

+    3 

84 

3935 

58 

3303 

70 

47 

5 

91 

60 

68 

40 

-  5199 

-    328 

85 

-  3875 

+  3431 

41 

5203 

—     4 

238 

+  90 

86 

3815 

+  60 

3499 

+  68 

—  2 

42 

5205 

—    2 

147 

91 

+    44 

87 

3754 

61 

3665 

66 

43 

5205 

0 

-      50 

91 

88 

3691 

63 

3631 

66 

44 

5204 

+     1 

+      35 

91 

89 

3628 

63 

3695 

64 

45 

-  5201 

+     3 

+     126 

+  91 

+    2 

90 

-  3563 

+  65 

+  375,-i 

+  63 

+    45 

30 


TABLE  IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  111. 

Arg. 

F 

Diff. 

* 

Diff. 

f 

Diff. 

Arg. 

P 

our. 

¥ 

Diff. 

f 

Diff. 

O 

O 

90 

-  3563 

+  3758 

+   45 

135 

+     103 

+  5224 

—  4 

91 

3497 

+  66 

3820 

-f  62 

136 

199 

+  89 

5223 

-    i 

67 

61 

90 

92 

3430 

3881 

137 

282 

5220 

67 

60 

90 

93 

3363 

69 

3941 

-  2 

138 

373 

5215 

O 

+     17 

94 

3294 

3999 

58 

139 

461 

89 

5209 

G 

95 

3224 

70 

4057 

58 

140 

550 

89 

5201 

8 

96 

3154 

70 

4113 

56 

43 

141 

640 

90 

6193 

9 

5 

97 

3082 

72 

4168 

55 

142 

729 

89 

5181 

11 

98 

3009 

73 

4221 

53 

143 

818 

89 

5168 

13 

99 

2936 

73 

4274 

53 

3 

144 

907 

89 

5154 

14 

19 

74 

51 

89 

1C 

100 

2862 

+  4325 

145 

+     995 

+  5138 

101 

2787 

+  75 

4375 

+  50 

146 

1083 

+  88 

5181 

-  17 

5 

102 

2711 

76 

4424 

49 

40 

147 

1171 

88 

6103 

18 

103 

2634 

77 

4471 

47 

148 

1259 

88 

5083 

20 

104 

2557 

77 

4517 

46 

149 

1346 

87 

50(51 

22 

105 

2478 

79 

4561 

44 

3 

150 

1433 

87 

6837 

24 

7 

106 

2399 

79 

4605 

44 

151 

1519 

86 

6019 

25 

107 

2320 

79 

4647 

42 

152 

1605 

86 

4986 

26 

108 

2239 

81 

4687 

40 

37 

153 

Hi91 

(6 

4958 

28 

5 

109 

2158 

81 

4726 

39 

154 

1776 

85 

4929 

29 

81 

38 

84 

31 

110 
111 

-  2077 
1994 

+  83 

+  4764 
4800 

+  36 

3 

155 
156 

+  18GO 
1944 

+  84 

+  4898 
4866 

-  32 

+      2 

112 

1911 

83 

4835 

35 

157 

2028 

84 

4832 

34 

113 

1828 

83 

4868 

33 

158 

2111 

83 

4797 

35 

114 

1744 

84 

4900 

32 

34 

159 

2193 

82 

4760 

37 

5 

115 

1659 

85 

4931 

31 

160 

2275 

82 

4722 

38 

116 

1574 

85 

4960 

29 

161 

2356 

81 

4689 

40 

117 

1489 

85 

4988 

28 

4 

162 

2436 

80 

4641 

41 

_      :! 

118 

1403 

86 

5014 

26 

163 

2516 

80 

4599 

42 

119 

1316 

87 

5038 

24 

164 

2595 

79 

4555 

44 

66 

23 

78 

45 

120 
121 

-  1230 
1143 

+  87 

+  5061 
5083 

+  22 

30 

165 
166 

+  2673 
2751 

+  78 

+  4510 
4463 

—  47 

6 

122 

1055 

88 

5103 

20 

1(17 

2827 

76 

4415 

48 

123 

967 

88 

5122 

19 

4 

168 

2903 

76 

436G 

49 

9 

124 

879 

88 

RR 

5139 

17 

1G9 

2978 

75 

4315 

51 

125 

791 

OB 

5154 

15 

170 

3052 

74 

4263 

52   - 

126 

702 

89 

on 

5168 

14 

26 

171 

3125 

73 

4210 

53 

5 

127 

613 

oy 
so 

5181 

13 

172 

3198 

73 

4155 

55 

128 

524 

Of 

5192 

11 

173 

3269 

71 

4099 

56 

129 

435 

5201 

9 

5 

174 

3340 

71 

4042 

57 

14 

90 

8 

, 

69 

58 

130 

-    345 

+      QQ 

+  5209 

175 

+  3409 

+  3984 

131 

256 

oy 

on 

5215 

+     6 

176 

3478 

+  69 

3924 

-  60 

-  4 

132 

166 

yv 

QQ 

5220 

5 

+    21 

177 

3545 

67 

3863 

61 

133 

-      77 

Oy 
Oft 

5223 

3 

178 

3612 

67 

3801 

62 

134 

+      13 

yu 

5224 

•f     1 

179 

3677 

65 

3738 

63 

135 

+     103 

+  5224 

0 

-  4 

180 

+  64 

+  3674 

-  64 

-  18 

31 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 
ARGUMENT  III. 

Arg. 

f 

Diff. 

V 

Diff. 

ff 

Dill". 

Arg. 

e 

Diff. 

*' 

Diff. 

P 

Diff. 

0 

0 

180 

+  3741 

+  3674 

-  18 

225 

+  5247 

-      64 

-  2 

181 

3804 

+  63 

3608 

—  66 

226 

5246 

—        1 

157 

—  93 

62 

66 

3 

92 

182 

3866 

3542 

227 

5243 

249 

61 

68 

5 

93 

183 

3927 

3474 

-  5 

228 

5238 

342 

-  40 

60 

69 

7 

92 

184 

3987 

3405 

229 

5231 

434 

185 

4046 

59 

3335 

;o 

230 

5223 

8 

527 

93 

57 

71 

9 

92 

186 

4103 

3264  - 

23 

231 

5214 

619 

1 

56 

72 

11 

92 

187 

4159 

3192 

232 

5203 

711 

55 

73 

13 

92 

188 

4214 

3119 

233 

5190 

803 

54 

74 

15 

91 

189 

4208 

3045 

4 

234 

5175 

894 

47 

52 

75 

16 

92 

190 

+  4320 

+  2970 

235 

+  5159 

-    986 

+  51 

—  18 

—  91 

191 

4371 

2895 

236 

5141 

1077 

1 

192 

4421 

50 

2818 

77 

27 

237 

5122 

19 

1168 

91 

49 

78 

21 

90 

193 

4470 

2740 

238 

5101 

1258 

47 

78 

22 

90 

194 

4517 

2662 

239 

5079 

1348 

46 

80 

24 

90 

195 

4563 

2582 

4 

240 

5056 

1438 

48 

44 

80 

26 

89 

196 

4607 

2502 

241 

5029 

1527 

197 

4650 

43 

2421 

81 

349 

5002 

27 

1616 

89 

42 

81 

29 

88 

198 

4  6!  12 

2340 

31 

243 

4973 

1704 

-  1 

40 

83 

30 

88 

199 

4732 

2257 

244 

4943 

1792 

39 

83 

32 

87 

200 

+  4771 

+  2174 

245 

+  4911 

-  1879 

•f  37 

—  84 

—  34 

—  87 

201 

4808 

2090 

4 

246 

4877 

1966 

49 

36 

85 

35 

86 

202 

4844 

2005 

247 

4842 

2052 

35 

85 

36 

85 

203 

4879 

1920 

248 

4806 

2137 

33 

86 

38 

85 

204 

4912 

1834 

35 

249 

4768 

2222 

0 

31 

86 

39 

84 

205 

4943 

.1748 

250 

4729 

2306 

30 

87 

41 

84 

206 

4973 

1661 

251 

4688 

2390 

29 

88 

43 

83 

207 

5002 

1573 

3 

252 

4645 

2473 

49 

27 

83 

44 

82 

208 

5029 

1485 

253 

4601 

2555 

25 

88 

45 

81 

209 

5054 

1397 

254 

4556 

2636 

24 

89 

47 

80 

+  1 

210 

+  5078 

+  1308 

38 

255 

+  4509 

-  2716 

+  22 

—  90 

—  48 

—  80 

211 

5100 

1218 

256 

4461 

2796 

21 

90 

50 

78 

212 

5121 

1128 

257 

4411 

2874 

GO 

90 

51 

78 

213 

5141 

1038 

3 

258 

4360 

2952 

48 

17 

91 

52 

77 

214 

5158 

947 

259 

4308 

3Q29 

16 

91 

54 

76 

215 

5174 

856 

260 

4254 

3105 

216 

5189 

15 

765 

91 

41 

261 

4199 

55 

3180 

75 

1 

13 

91 

56 

74 

217 

5202 

674 

262 

4143 

3254 

11 

92 

58 

73 

218 

5213 

582 

263  " 

4085 

3327 

10 

92 

59 

72 

219 

5223 

490 

3 

264 

4026 

3399 

47 

8 

92 

60 

71 

220 

+  5231 

+     398 

265 

+  3966 

-  3470 

+     6 

—  92 

—  61 

—  70 

221 

5837 

306 

266 

3905 

3540 

+  2 

5 

93 

63 

69 

222 

5242 

213 

-  44 

267 

3842 

3609 

4 

92 

64 

67 

223 

5246 

121 

268 

3778 

3676 

+      1 

93 

65 

67 

224 

5247 

+      28 

269 

3713 

3743 

o 

—  92 

gg 

gr; 

225 

I-  r,2!7 

61 

-  2 

270 

+  3647 

-  3808 

-  45 

32 


TABLE    I'M  .—Continued. 
PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 
ARGUMENT  III. 

Arg. 

P 

Diff. 

V 

Diff. 

•* 

Diff. 

Arg. 

' 

Diff. 

"' 

Diff. 

P 

Diff 

o 

270 

+  3647 

-  3808 

-  45 

315 

149 

—  93 

5286 

-     3 

+  4 

271 

3579 

-  68 

3872 

—  64 

316 

242 

93 

5283 

272 

3511 

68 

3935 

63 

317 

335 

92 

5278 

_ 

273 

3441 

70 

3997 

63 

4-  2 

318 

427 

92 

5271 

8 

-  17 

274 

3370 

71 

4058 

61 

319 

519 

92 

5263 

10 

275 

3298 

72 

4117 

59 

320 

611 

92 

6953 

12 

276 

3226 

72 

4175 

58 

43 

321 

703 

92 

5241 

13 

5 

277 

3152 

74 

4231 

56 

322 

795 

91 

5228 

14 

278 

3077 

75 

4287 

56 

323 

886 

91 

5214 

17 

279 

3001 

76 

4341 

54 

3 

324 

977 

5197 

18 

77 

52 

91 

18 

280 
281 

+  2924 
2847  ' 

-  77 

-  4393 
4445 

-  52 

325 

326 

-  1068 
1158 

-  90 
90 

-  5179 
5160 

4-  19 
21 

5 

282 

2768 

79 

4495 

50 

40 

327 

1248 

89 

5139 

23 

283 

2689 

79 

4543 

48 

328 

1337 

89 

5116 

24 

284 

2608 

81 

4590 

47 

329 

1426 

5092 

26 

285 

2537 

81 

4636 

46 

3 

330 

1515 

88 

5066 

28 

7 

286 

2445 

83 

4680 

44 

331 

1603 

88 

5038 

29 

287 

2363 

83 

4723 

43 

332 

1691 

07 

5009 

30 

288 

2279 

84 

4764 

41 

37 

333 

1778 

o/ 

Of! 

4979 

32 

5 

289 

2195 

84 

4804 

40 

334 

1864 

BO 

4947 

85 

38 

86 

34 

290 

+  2110 

-  4842 

3 

335 

-  1950 

ftfi 

-  4913 

+     JK 

291 

2025 

—  85 

4879 

—  37 

336 

2035 

—    OD 

4878 

OO 

36 

_     o 

292 

1939 

86 

4914 

35 

337 

2120 

85 

84 

4842 

33 

293 

.     1852 

87 

4948 

34 

338 

2204 

QQ 

4804 

40 

294 

1765 

87 

4980 

32 

34 

339 

2287 

CO 

CO 

4764 

41 

5 

295 

1677 

88 

CO 

5011 

31 
29 

340 

2369 

OH 

82 

4723 

42 

296 

1589 

oo 

5040 

341 

2451 

01 

4681 

44 

297 

1500 

89 

5067 

27 

4 

342 

2532 

61 
Rfl 

4637 

45 

4-     3 

298 

1411 

89 

5093 

26 

343 

2612 

OU 

4592 

47 

299 

1321 

90 

5117 

24 

344 

2691 

79 

4545 

90 

23 

78 

48 

300 

4-  1231 

-  5140 

30 

345 

-  2769 

-  4497 

6 

301 

1140 

—  91 

5161 

—  21 

346 

2846 

—  77 

4448 

4~  49 

90 

20 

77 

51 

302 

1050 

5181 

347 

2923 

4397 

303 

958 

92 

5199 

18 

4 

348 

2999 

76 

4345 

52 

9 

304 

807 

91 

5215 

16 

349 

3073 

.74 

4292 

53 

92 

15 

74 

305 

775 

5230 

350 

3147 

4237 

92 

13 

72 

56 

306 

683 

5243 

26 

351 

3219 

4181 

5 

307 

591 

92 

5254 

11 

352 

3291 

72 

4124 

57 

92 

10 

71 

58 

308 

499 

5264 

353 

3362 

4066 

93 

g 

69 

60 

309 

406 

5272 

5 

354 

3431 

4006 

14 

92 

6 

69 

61 

310 

4-    314 

-  5278 

355 

-  3500 

-  3945 

311 

221 

-  93 

5283 

-    5 

356 

3567 

~  67 

3883 

4-  62 

92 

3 

66 

63 

312 

129 

5286 

-  21 

357 

3633 

3820 

4  4 

93 

g 

65 

64 

313 

4-      36 

5288 

358 

3698 

3756 

314 

-      57 

93 

5288 

0 

359 

3762 

64 

3690 

66 

315 

-    149 

-  92 

-  5286 

4-    2 

4-  4 

360 

-3825 

-  63 

--  :!<;•>  i 

4-  66 

4-  18 

33 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  1 

HE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  IV. 

Arg. 

f           Diff. 

,,'          Diff. 

f            Diff. 

Arg. 

a 

s 

Diff. 

V 

Diff. 

C' 

Diff. 

O 

0 

0 

+  1157 

-  3275 

-   1 

45 

+  1474 

+  2694 

+  4 

1 

1320 

3204 

+  71 

46 

1328 

-146 

2755 

+  61 

80 

148 

53 

2 

1479 

3124 

47 

1180 

2808 

1  ~td 

87 

150 

45 

3 

1633 

3037 

-  5 

48 

1030 

2853 

-    6 

ISO 

95 

153 

37 

4 

1783 

2942 

49 

877 

2890 

102 

153 

29 

5    . 

1927 

2840 

50 

724 

2919 

108 

154 

21 

6 

2066 

2732 

6 

51 

570 

2940 

5 

7 

2198    i 

2610 

116 

52 

415 

155 

2953 

13 

122 

155 

+     4 

8 

2324 

2494 

53 

260 

2957 

128 

154 

—     4 

9 

2443 

3368 

54 

+     100 

2953 

-    1 

113 

134 

4 

153 

12 

10 

+  2556 

-  2232 

55 

-      47 

+  2!M1 

11 

2601 

2094 

+138 

56 

200 

-153 

2921 

-  20 

6 

no 

143 

150 

28 

12 

2759 

1951 

10 

57 

350 

2893 

13 

2649 

1803 

148 

58 

498 

148 

2857 

36 

OQ 

151 

146 

44 

14 

2931 

1652 

59 

644 

2813 

15 

3004 

1496 

156 

3 

00 

787 

143 

2762 

51 

+    5 

16 

3070 

66 

1338 

158 

01 

926 

139 

2703 

59 

17 

3127 

57 

1177 

161 

62 

1062 

136 

2637 

66 

18 

3170 

1013 

164 

13 

63 

1194 

132 

2564 

73 

5 

Af\ 

166 

127 

79 

19 

3210 

847 

64 

1321 

2485 

31 

166 

122 

86 

20 

+  3247 

-     68L 

-  2 

65 

-  1443 

+  2399 

21 

3270 

+  23 

513 

+168 

66 

1560 

-117 

2307 

-  92 

10 

22 

3284 

14 

345 

168 

67 

1672 

112 

2209 

98 

23 

3289 

+     5 

176 

169 

68 

1778 

106 

2106 

103 

24 

3285 

-    4 

-        8 

168 

15 

69 

1878 

100 

1997 

109 

4 

25 

3273 

12 

+     159 

167 

70 

1972 

94 

1883 

114 

26 

3252 

21 

324 

165 

71 

2059 

87 

1765 

118 

27 

3223 

29 

488 

164 

0 

72 

2140 

81 

1643 

122 

14 

28 

3185 

38 

650 

162 

73 

2214 

74 

1516 

127 

29 

3139 

46 

809 

159 

74 

2280 

66 

1387 

129 

54 

156 

60 

132 

30 

+  3085 

+    905 

15 

75 

-  2340 

+  1254 

4 

31 

3022 

-  63 

1118 

+153 

76 

2392 

-  52 

1119 

-135 

32 

2952 

70 

1266 

148 

77 

2437 

45 

982 

137 

33 

2875 

77 

1411 

145 

+  2 

78 

2474 

37 

843 

139 

18 

34 

2791 

1551 

140 

79 

2503 

29 

702 

141 

35 

2700 

1680 

135 

80 

2525 

22 

561 

141 

36 

2602 

98 

1815 

129 

13 

81 

2539 

14 

418 

143 

+  2 

37 

2497 

105 

1939 

124 

82 

2545 

-    6 

276 

142 

38 

2387 

110 

2057 

118 

83 

2543 

+     2 

+     134 

142 

39 

2271 

116 

2109 

112 

3 

84 

2534 

9 

7 

141 

20 

122 

105 

17 

140 

40 

+  2149 

+  2274 

85 

-  2517 

-     147 

41 

2023 

—126 

2373 

+  99 

86 

2493 

+  24 

285 

-138 

0 

42 

1891 

131 

2404 

91 

-  10 

87 

2461 

32 

422 

137 

43 

1756 

135 

2548 

84 

88 

2422 

39 

556 

134 

44 

1617 

139 

2625 

77 

89 

2376 

46 

688 

132 

45 

+  1474 

-143 

+  2694 

+  69 

+  4 

90 

-  2323 

+  53 

-    816 

-128 

+  20 

34 


TABLE  IV.  —Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  IV. 

Arg. 

f 

Diff. 

"' 

Diff. 

* 

Diff. 

Arg. 

P 

Diff. 

>/ 

Diff. 

c' 

Diff. 

O 

O 

90 

-  2323 

-    816 

+  20 

135 

+  2122 

•     394 

—  3 

91 

2263 

+  60 

941 

-125 

136 

2143 

+  21 

265 

+129 

66 

121 

13 

131 

go 

2197 

1062 

137 

2156 

'34 

73 

117 

+    6 

131 

93 

2124 

1179 

-  i 

138 

2102 

3 

-     7 

94 

2045 

79 

1292 

113 

139 

2161 

-     1 

+     J29 

133 

84 

107 

Q 

131 

95 

1961 

1399 

140 

2152 

260 

—  1 

103 

16 

131 

96 

1870 

1502 

19 

141 

2136 

391 

97 

1775 

95 

1599 

97 

142 

2112 

24 

521 

130 

100 

91 

31 

129 

98 

1075 

1690 

143 

2081 

650 

105 

85 

38 

127 

99 

1570 

1775 

2 

144 

2043 

777 

8 

110 

79 

45 

125 

100 

-  1460 

-   1854 

145 

+  1998 

+    902 

101 

1347 

+113 

1927 

-  73 

146 

1946 

-  52 

1024 

+122 

0 

117 

66 

59 

119 

102 

1230 

1993 

17 

147 

1887 

1143 

120 

59 

66 

116 

103 

1110 

2052 

148 

1821 

1259 

123 

52 

72 

113 

104 

987 

2104 

149 

1749 

1372 

125 

45 

78 

100 

105 

862 

2149 

4 

150 

1671 

1481 

ivy 

8 

106 

735 

127 

2187 

38 

151 

1586 

ai 

1585 

104 

107 

606 

129 

2218 

31 

152 

1496 

90 

1684 

99 

108 

476 

130 

2241 

23 

13 

153 

1400 

96 

1779 

95 

+  2 

109 

345 

131 

2257 

16 

154 

1298 

103 

1868 

89 

131 

8 

106 

84 

110 

-    214 

-  2265 

155 

+  1192 

-  1952 

111 

-      82 

+132 

2266 

-     1 

4 

156 

1081 

-111 

2030 

+  78 

6 

112 

+      49 

131 

2260 

+     6 

157 

965 

116 

2102 

72 

113 

179 

130 

2246 

14 

158 

846 

119 

2167 

65 

114 

308 

129 

2224 

22 

9 

159 

722 

124 

2226 

59 

3 

115 

435 

127 

2196 

28 

160 

595 

127 

2278 

52 

116 

561 

126 

2160 

36 

161 

466 

129 

2323 

45 

117 

684 

123 

2117 

43 

5 

162 

334 

132 

2361 

38 

-    3 

118 

604 

120 

2068 

49 

163 

199 

135 

2392 

31 

119 

922 

118 

2011 

57 

164 

+      62 

137 

2415 

23 

114 

63 

137 

16 

120 

+  1036 

-  1948 

+      4 

165 

-      75 

+  2431 

4 

121 

1146 

+110 

1879 

+  69 

166 

214 

-139 

2439 

+    8 

122 

1252 

106 

1804 

75 

167 

354 

140 

2439 

0 

123 

1353 

101 

1722 

82 

4 

168 

494 

140 

2432 

-    7 

+     1 

124 

1450 

97 

1635 

87 

169 

633 

139 

2417 

15 

125 

1542 

92 

1543 

92 

170 

772 

139 

2395 

22 

126 

1628 

86 

1445 

98 

0 

171 

910 

138 

2365 

30 

5 

127 

1708 

80 

1343 

102 

172 

1047 

137 

2327 

38 

128 

1783 

75 

1236 

107 

173 

1182 

135 

2281 

46 

129 

1851 

68 

1126 

110 

4 

174 

1314 

132 

2228 

53 

6 

62 

115 

130 

60 

130 

+  1913 

-  1011 

75 

-  1444 

+  2168 

131 

1969 

+  56 

893 

+118 

76 

1571 

-127 

2101 

-  67 

+  4 

132 

2018 

49 

772 

121 

-    4 

77 

1694 

123 

2026 

75 

133 

2060 

42 

648 

124 

78 

1814 

120 

1945 

81 

134 

2095 

35 

522 

126 

79 

1929 

115 

1857 

88 

135 

+  2122 

+  27 

-    394 

+128 

-  3 

180 

-  2040 

-111 

+  1762 

-  95 

+  10 

35 


TABLE    IN  —Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  IV. 

Arg. 

P 

Diff. 

r/' 

Diff. 

e 

Diff. 

Arg. 

P 

Diff. 

r/' 

Diff. 

' 

Diff. 

O 

o 

180 

-  2040 

+   1762 

+  10 

225 

+      88 

-  3483 

-  6 

181 

2146 

-106 

1661 

-101 

226 

260 

+172 

3491 

-    8 

182 

2247 

101 

1555 

106 

227 

433 

173 

3490 

+     1 

95 

113 

173 

10 

183 

2342 

1442 

+  4 

228 

606 

3480 

+    3 

89 

1  18 

173 

18 

184 

2431 

1324 

229 

779 

3462 

185 

2514 

83 

1202 

122 

230 

951 

172 

3435 

27 

7 

186 

2591 

77 

1074 

126 

231 

1122 

171 

3399 

36 

70 

132 

170 

44 

187 

2661 

942 

14 

232 

1292 

3355 

63 

136 

167 

53 

188 

2724 

806 

233 

1459 

3302 

57 

141 

165 

62 

189 

2781 

665 

234 

1624 

3240 

-    4 

48 

143 

3 

162 

70 

190 

-  2829 

+    522 

235 

+  1786 

-  3170 

191 

2870 

-  41 

376 

-146 

236 

1944 

+158 

3092 

+  78 

7 

34 

•    149 

155 

86 

192 

2904 

227 

17 

237 

2099 

8006 

26 

151 

151 

94 

193 

2930 

+       76 

238 

2250 

9919 

194 

2947 

17 

-       77 

153 

239 

2395 

145 

2811 

101 

195 

2957 

10 

231 

154 

+  2 

240 

2536 

141 

2702 

109 

11 

196 

2959 

-     2 

387 

156 

241 

2672 

136 

2586 

116 

155 

129 

123 

197 

2952 

542 

242 

2801 

2463 

14 

156 

124 

130 

198 

2938 

698 

19 

243 

2925 

2333 

6 

23 

155 

117 

136 

199 

2915 

853 

244 

3042 

2197 

32 

155 

111 

142 

200 

-  2883 

-  1008 

0 

245 

+  3153 

-  2055 

201 

2844 

+  39 

1161 

-153 

246 

3256 

+103 

1907 

+148 

17 

202 

2796 

48 

1313 

152 

247 

3352 

96 

1754 

153 

203 

2741 

55 

1463 

150 

248 

3440 

88 

1596 

158 

204 

2678 

63 

1610 

147 

19 

249 

3521 

81 

1434 

162 

6 

72 

144 

72 

167 

205 

2606 

1754 

250 

3593 

1267 

79 

141 

64 

170 

206 

2527 

1895 

251 

3657 

1097 

86 

138 

56 

174 

207 

2441 

9033 

-  2 

252 

3713 

923 

23 

94 

133 

47 

176 

208 

2347 

2166 

253 

3760 

747 

209 

2247 

100 

2294 

128 

254 

3798 

38 

568 

179 

108 

124 

29 

181 

4 

210 

-  2139 

-  2418 

17 

255 

+  3827 

-    387 

211 

2025 

+  114 

2537 

-119 

256 

3847 

+  20 

204 

+183 

212 

1904 

121 

2650 

113 

257 

3858 

11 

-      20 

184 

213 

1778 

126 

2757 

107 

3 

258 

3860 

+     2 

+     164 

184 

27 

214 

1645 

133 

2858 

101 

259 

3853 

-     7 

348 

184 

215 

1508 

137 

2952 

94 

260 

3836 

17 

532 

184 

216 

1365 

143 

3040 

88 

14 

261 

3810 

26 

716 

184 

2 

217 

1217 

148 

3120 

80 

262 

3775 

35 

898 

182 

818 

1065 

152 

3193 

73 

263 

3731 

44 

1078 

180 

219 

909 

156 

3259 

66 

264 

3678 

53 

1257 

179 

29 

159 

58 

5 

62 

176 

220 

-     750 

-  3317 

265 

+  3616 

+  1433 

221 

587 

+  163 

3367 

-  50 

266 

3545 

—  71 

1606 

+173 

-  1 

222 

421 

166 

3408 

41 

+     9 

267 

3466 

79 

1775 

169 

223 

253 

168 

3442 

34 

268 

3378 

88 

1941 

166 

224 

84 

169 

3467 

25 

269 

3282 

96 

2102 

161 

225 

+      88 

+172 

-  3483 

-  16 

-  6 

270 

+  3178 

-104 

+  2259 

+157 

-  30 

36 


TABLE    IV.  —Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  IV. 

Arg. 

f 

Diff. 

V 

Diff. 

* 

Diff. 

Arg. 

' 

Diff. 

„' 

Diff. 

' 

Diff. 

0 

270 
271 
272 
273 

+  3178 
3066 
2947 
2821 

-112 
119 
126 

+  2259 
2411 
2557 
2697 

+152 
146 
140 

-  30 

+  2 

O 

315 
316 
317 
318 

-  3656 
3709 
3752 
3787 

-  53 
43 
35 

+  1254 
1074 
892 
708 

-180 

183 
184 

+    10 

+  5 

274 

2687 

134 

2831 

134 

319 

3812 

a,r. 

522 

186 

275 

2547 

140 

2958 

127 

320 

3827 

15 

336 

186 

276 

2401 

146 

3078 

120 

28 

321 

3833 

—     6 

+     149 

187 

3 

277 

2249 

152 

3191 

113 

322 

3830 

+     3 

-      37 

186 

278 

2091 

158 

3297 

106 

323 

3817 

13 

223 

186 

185 

279 

1929 

162 

3395 

98 

4 

324 

3795 

408 

13 

168 

90 

I 

31 

184 

280 
281 

+  1761 
1589 

-172 

+  3485 
3566 

+  81 

325 

326 

-  3764 
3723 

+  41 

-     592 
773 

-181 

17Q 

+  1 

282 

1413 

176 

3640 

74 

24 

327 

3673 

50 

952 

j  /y 

1  7fi 

283 

1234 

179 

3704 

64 

328 

3615 

58 

1128 

1  <0 

182 

56 

68 

173 

284 

1052 

3760 

329 

3547 

1301 

185    ' 

46 

76 

169 

285 

867 

3806 

5 

330 

3471 

1470 

14 

286 

680 

187 

3844 

38 

331 

3387 

84 

1635 

165 

189 

28 

91 

160 

287 

491 

3872 

332 

3894 

1795 

288 

301 

190 

3891 

19 

19 

333 

3194 

100 

1950 

155 

-  1 

289 

+     110 

191 

3901 

10 

334 

3086 

108 

2100 

150 

191 

+     1 

115 

144 

290 

-      81 

+  3902 

6 

335 

-  2971 

-  -«44 

291 

272 

-191 

3893 

-    9 

336 

2849 

+122 

2382 

-138 

13 

190 

19 

131 

132 

292 

462 

3874 

337 

2719 

2514 

189 

27 

135 

124 

293 

651 

3847 

338 

2584 

2648 

187 

37 

141 

118 

294 

838 

3810 

13 

339 

2443 

2756 

2 

185 

46 

147 

110 

295 

1023 

3764 

340 

8396 

2866 

183 

55 

153 

103 

296 

1206 

3709 

341 

2143 

2969 

180 

64 

157 

95 

297 

1386 

3645 

6 

342 

1986 

3064 

11 

176 

72 

161 

87 

298 

1562 

3573 

343 

1825 

3J51 

172 

81 

166 

77 

299 

1734 

3492 

344 

1659 

3228 

168 

90 

169 

70 

300 

-  1902 

+  3402 

7 

345 

-  1490 

-  3298 

3 

301 

2066 

-164 

3304 

-  98 

346 

1318 

+  172 

3360 

-  62 

158 

105 

174 

52 

302 

2224 

3199 

347 

1144 

3412 

152 

114 

177 

43 

303 

2376 

3085 

6 

348 

967 

3455 

8 

147 

120 

179 

35 

304 

2523 

2965 

349 

788 

3490 

141 

128 

180 

25 

305 

2664 

2837 

350 

608 

SKIS 

4 

134 

134 

181 

17 

306 

2798 

2703 

1 

351 

427 

3532 

127 

141 

181 

307 

2925 

2562 

352 

246 

3539 

119 

146 

180 

+     2 

308 

3044 

2416 

353 

-      66 

3537 

309 

3156 

112 

2264 

152 

6 

354 

+     115 

181 

3527 

10 

+     4 

105 

158 

179 

20 

310 

-  3261 

+  2106 

355 

+    294 

-  3507 

311 

3357 

-  96 

1944 

-162 

866 

471 

+177 

3478 

+  29 

-  5 

312 

3445 

88 

1777 

167 

+    5 

357 

047 

176 

3440 

38 

313 

3524 

79 

1606 

171 

358 

820 

173 

3394 

46 

71 

174 

170 

55 

314 

3595 

1432 

359 

990 

3339 

315 

-  3656 

-  61 

+  1254 

-178 

+  5 

360 

+  1157 

+167 

+  64 

1 

37 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  V. 

Arg. 

f 

Diff. 

„< 

Diff. 

V 

Diff. 

Arg. 

i 

Diir. 

• 

Diff. 

C' 

Did. 

0 

0 

0 

+     647 

—   1  5t  15 

+  42 

45 

-     751 

-  1519 

-  2 

—  32 

—  10 

—  25 

«f  14 

1 

615 

1575 

46 

779 

1505 

33 

9 

24 

13 

2 

582 

1584 

47 

803 

1492 

33 

g 

24 

15 

3 

549 

1592 

+  2 

48 

827 

1477 

+  45 

33 

9 

23 

15 

4 

516 

1601 

49 

850 

1462 

33 

7 

24 

15 

5 

483 

1608 

50 

874 

1447 

34 

g 

22 

tfi 

6 

449 

1616 

41 

51 

896 

1431 

3 

33 

7 

23 

1  7 

7 

416 

1623 

52 

919 

1414 

34 

6 

22 

17 

8 

382 

1629 

53 

941 

1397 

33 

21 

17 

9 

349 

1635 

2 

54 

963 

1380 

42 

34 

6 

21 

18 

10 

+    315 

-  1641 

55 

-     983 

-  1362 

11 

281 

-  34 

1646 

—     5 

56 

1004 

-  21 

1343 

+  19 

33 

4 

20 

19 

12 

''•IS 

1650 

46 

57 

1034 

1324 

3 

34 

5 

90 

20 

13 

214 

1655 

58 

1044 

1304 

33 

3 

Ifl 

20 

14 

181 

1658 

59 

1063 

1284 

15 

147 

34 

1662 

4 

1 

(iO 

L089 

19 

1263 

21 

39 

33 

2 

19 

21 

16 

114 

1664 

61 

1101 

1249 

33 

3 

18 

21 

17 

8L 

1667 

69 

111!) 

1221 

34 

2 

!R 

22 

18 

47 

1669 

47 

63 

1137 

1199 

19 

+       14 

33 

1670 

1 

64 

1,54 

1  17(1 

23 

5 

33 

-     1 

17 

23 

20 

-       19 

-  1671 

1 

65 

+   1171 

-  1153 

21 

51 

-  33 

1671 

0 

66 

1188 

-  17 

1130 

+  23 

34 

22 

84 

33 

1671 

0 

67 

1204 

16 

1106 

24 

32 

_j-      | 

Q  1 

23 

116 

1670 

68 

1220 

1082 

A-t 

24 

149 

33 

1669 

1 

48 

69 

1235 

15 

1057 

25 

5 

25 

181 

32 

1667 

2 

70 

1250 

IS 

1032 

25 

26 

212 

31 

1665 

2 

71 

1265 

II 

1007 

25 

27 

244 

32 

1662 

3 

+  1 

72 

1280 

15 

981 

26 

99 

28 

275 

31 

1659 

3 

73 

1294 

14 

955 

26 

29 

306 

31 

1655 

4 

74 

1307 

13 

928 

27 

30 

5 

14 

27 

6 

30 

-    336 

-  1650 

49 

75 

-  1321 

-    901 

31 

367 

-  31 

1646 

+     4 

76 

1334 

-  1:1 

874 

+  27 

32 

397 

30 

1640 

6 

77 

1346 

12 

847 

27 

33 

426 

29 

1634 

6 
" 

-  1 

78 

1359 

13 

819 

28 

23 

34 

456 

30 

1627 

79 

1371 

12 

791 

28 

35 

485 

29 

1620 

7 

80 

1382 

11 

763 

28 

36 

513 

28 

1613 

7 

48 

81 

1393 

11 

735 

28 

7 

37 

542 

27 

1605 

8 

82 

1404 

11 

706 

29 

38 

569 

27 

1596 

9 

83 

1415 

11 

677 

29 

39 

597 

28 

1586 

10 

84 

1425 

10 

648 

29 

16 

27 

10 

1 

10 

29 

40 

-     624 

-  1576 

85 

-  1435 

-    (il!) 

41 

651 

—  27 

OR 

1566 

+  10 

86 

1445 

-  10 

590 

+  29 

-  6 

42 

677 

•0 

1555 

11 

+  47 

87 

1454 

9 

560 

30 

43 

703 

26 

1543 

12 

88 

1463 

9 

531 

29 

44 

7-J!) 

26 

1531 

12 

89 

1472 

9 

501 

30 

45 

-    754 

—  25 

-  1519 

+  12 

-  2 

90 

-  1481 

-     9 

471 

+  30 

+  10 

38 


r 

TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  V. 

Arg. 

? 

Diff. 

j 

Diff. 

f 

Diff. 

Arg. 

f 

Diff. 

r/ 

Diff. 

P 

Diff. 

0 

0 

90 

-  1481 

-    471 

+  10 

135 

-  1490 

+    738 

_    0 

91 

1489 

-     8 

441 

+  30 

136 

1480 

+  10 

758 

+  20 

g 

30 

10 

21 

92 

1497 

411 

137 

1470 

77!) 

7 

29 

11 

20 

93 

1504 

382 

-  6 

138 

1459 

799 

-  24 

7 

30 

11 

19 

94 

1511 

352 

139 

1448 

818 

7 

30 

11 

20 

95 

1518 

322 

140 

1437 

838 

5 

30 

]2 

19 

96 

1524 

292 

+     4 

141 

1425 

857 

. 

7 

30 

13 

18 

97 

1531 

262 

142 

1412 

875 

5 

30 

13 

18 

98 

1536 

232 

143 

1399 

893 

R 

30 

14 

18 

99 

1542 

202 

6 

144 

1385 

911 

25 

5 

30 

14 

18 

100 

-  1547 

172 

145 

-  1371 

+     929 

101 

1552 

5 

142 

+  30 

146 

1356 

+  15 

947 

+  18 

102 

1556 

4 

113 

29 

-    2 

147 

1341 

15 

964 

17 

0 

5 

30  * 

15 

ifi 

103 

1561 

83 

148 

1326 

980 

10 

3 

29 

16 

104 

1564 

54 

149 

1310 

997 

i  / 

105 

1568 

4 

-      25 

29 

6 

150 

1293 

17 

1013 

16 

3 

29 

17 

Ifi 

106 

1571 

+        4 

151 

1276 

1029 

ID 

25 

107 

1574 

3 

33 

29 

152 

1258 

18 

1045 

16 

108 

1577 

3 

62 

29 

8 

153 

1240 

18 

1060 

15 

109 

1579 

Q 

91 

29 

154 

1222 

18 

1076 

16 

0 

1 

28 

19 

14 

110 

-  1580 

+     119 

5 

155 

-  1203 

+  1090 

111 

1582 

-     2 

147 

+  28 

156 

1183 

-f  20 

1105 

+  15 

25 

119 

1583' 

1 

175 

28 

157 

1163 

30 

1120 

15 

Q 

28 

OQ 

113 

1583 

203 

158 

1143 

1134 

14 

114 

1584 

—       1 

230 

27 

13 

159 

1122 

21 

1148 

14 

0 

115 

1583 

+       1 

257 

27 

ICO 

1101 

21 

1161 

13 

116 

1583 

0 

284 

27 

161 

1079 

22 

1175 

14 

117 

1582 

1 

311 

27 

4 

162 

1057 

22 

1188 

13 

25 

118 

1581 

1 

337 

26 

163 

1035 

22 

1201 

13 

119 

1579 

2 

363 

26 

164 

1012 

23 

1213 

12 

2 

26 

24 

13 

0 

120 

-  1577 

+    389 

17 

165 

-    988 

+  1226 

121 

1574 

+    3 

414 

+  25 

166 

965 

+  23 

1238 

+  12 

122 

1571 

3 

440 

26 

167 

941 

24 

1251 

13 

123 

1567 

4 

465 

25 

3 

168 

916 

25 

1262 

11 

25 

124 

1563 

4 

489 

24 

169 

892 

24 

1274 

12 

125 

1559 

4 

513 

24 

170 

867 

25 

1286 

12 

126 

1554 

5 

537 

24 

20 

171 

841 

26 

1297 

11 

0 

127 

1549 

5 

561 

24 

172 

815 

26 

1308 

11 

128 

1543 

6 

584 

23 

173 

790 

25 

1319 

11 

129 

1537 

6 

607 

23 

174 

763 

27 

1329 

10 

25 

7 

23 

2 

26 

11 

130 

-  1530 

+    630 

175 

-    737 

+  1340 

o 

131 

1523 

+     7 

652 

+  22 

176 

710 

+  27 

1350 

+  10 

132 

1515 

8 

674 

22 

-  22 

177 

683 

27 

1360 

10 

133 

1507 

8 

696 

22 

178 

656 

27 

1370 

10 

134 

1499 

8 

717 

21 

179 

629 

27 

1380 

10 

135 

-  1490 

+    9 

+    738 

+  21 

-  2 

180 

-    601 

+  28 

+  1389 

+     9 

-  25 

39 


TABLE    IV.  —  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT   V. 

Arg. 

* 

Diff. 

„' 

Diff. 

C' 

Diff. 

Arg. 

* 

Diff. 

n< 

Diff. 

C' 

Diff. 

0 

O 

180 

-    001 

+  1389 

-  25 

225 

+    021 

+  1509 

-  2 

+  28 

+  10 

+  23 

—    8 

181 

573 

1399 

226 

644 

1501 

28 

9 

33 

7 

182 

545 

1408 

227 

067 

1494 

28 

g 

33 

g 

183 

517 

1417 

-  1 

228 

690 

1486 

-  39 

184 

489 

28 

1425 

8 

229 

712 

33 

1477 

9 

28 

9 

33 

10 

185 

401 

1434 

230 

734 

1467 

29 

g 

22 

10 

186 

432 

1442 

26 

231 

756 

1457 

-  1 

28 

g 

22 

10 

187 

404 

1450 

232 

778 

1447 

29 

g 

21 

11 

188 

375 

1458 

233 

799 

1436 

189 

347 

28 

1465 

• 

1 

234 

820 

21 

1424 

12 

40 

39 

7 

21 

12 

190 

-     318 

+  1472 

235 

+    841 

+  1412 

-t-  29 

•f     7 

+  20 

—  13 

191 

289 

1479 

236 

861 

1399 

0 

29 

7 

21 

13 

192 

200 

1486 

27 

237 

882 

1386 

28 

7 

20 

j4 

193 

232 

1493 

238 

902 

1372 

QQ 

g 

20 

15 

194 

203    i 

1499 

239 

922 

1357 

oo 

g 

19 

15 

195 

174 

1505 

2 

240 

941 

1342 

40 

38 

5 

20 

16 

196 

140 

1510 

241 

961 

1326 

197 

117 

29 

1516 

6 

242 

980 

19 

1310 

16 

28 

5 

19 

17 

198 

89 

1521 

29 

243 

999 

1293 

29 

4 

19 

18 

199 

CO 

1525 

244 

1018 

1275 

+  1 

28 

5 

18 

18 

200 

'-       32 

+  1530 

2 

245 

+  1036 

+  1257 

201 

4 

+  28 

Io34 

+     4 

240 

1054 

+  18 

1238 

-  19 

39 

29 

3 

18 

19 

202 

+      25 

1537 

247 

1072 

1219 

28 

4 

18 

19 

203 

53 

1541 

248 

1090 

1200 

27 

3 

18 

21 

204 

80 

1544 

31 

249 

1108 

1179 

1 

205 

108 

28 

1547 

3 

250 

1125 

17 

1158 

21 

28 

2 

18 

21 

206 

130 

1549 

251 

1143 

1137 

27 

2 

17 

oo 

207 

103 

1551 

2 

252 

1160 

1115 

IH 

38 

208 

191 

28 

1552 

1 

253 

1176 

16 

1093 

23 

209 

218 

27 

1553 

1 

254 

1193 

17 

1071 

22 

26 

+     1 

16 

24 

210 

+     244 

+  1544 

33 

255 

+  1209 

+  1047 

3 

211 

271 

+  27 

1554 

0 

256 

1226 

+  17 

1023 

-  24 

212 

298 

27 

1554 

0 

257 

1241 

15 

998 

25 

213 

324 

26 

1554 

0 

2 

258 

1257 

16 

974 

24 

35 

214 

350 

26 

1553 

-    1 

259 

1273 

16 

948 

26 

215 

370 

26 

1551 

3 

260 

1288 

15 

923 

25 

210 

401 

96 

1549 

2 

35 

261 

1303 

15 

897 

26 

4 

217 

427 

26 

1547 

2 

262 

1318 

15 

870 

27 

218 

452 

25 

1544 

3 

263 

1333 

15 

843 

27 

219 

477 

25 

1540 

4 

2 

264 

1347 

14 

810 

27 

31 

24 

4 

14 

28 

220 

+     501 

+  1536 

265 

+  1361 

+    788 

221 

520 

+  25 

1532 

-     4 

266 

1375 

+  14 

760 

-  28 

+  4 

222 

550 

24 

1527 

5 

-  37 

267 

1389 

14 

732 

28 

223 

574 

24 

1521 

6 

268 

1403 

14 

703 

39 

224 

598 

24 

1515 

6 

269 

1410 

13 

074 

29 

225 

+    621 

+  23 

-f  1509 

-    6 

—  2 

270 

+  1429 

+  13 

+    645 

-  29 

-"27 

40 


TABLE    I  V  .—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  V. 

Arg. 

S 

Diff. 

,< 

Diff. 

ff 

Diff. 

Arg. 

f 

Diff. 

"' 

Diff. 

? 

Diff 

O 

O 

270 

+  1429 

+    645 

-  27 

315 

+  1628 

-    726 

+  5 

271 

1442 

+  13 

615 

—  30 

316 

1620 

~~    8 

752 

~ 

272 

1455 

13 

585 

30 

317 

1G11 

9 

779 

27 

12 

30 

9 

26 

273 

1467 

555 

+  5 

318 

1602 

805 

+  18 

12 

30 

10 

26 

274 

1479 

525 

319 

1592 

831 

275 

1491 

12 

494 

31 

320 

1581 

11 

856 

23 

12 

30 

1  \ 

25 

276 

1503 

464 

22 

321 

1570 

881 

4 

277 

1514 

11 

433 

31 

322 

1558 

12 

906 

25 

278 

1525 

11 

402 

31 

323 

1545 

13 

930 

24 

10 

32 

14 

24 

279 

1535 

370 

6 

324 

1531 

954 

IS 

11 

31 

14 

24 

280 

+  1546 

+    339 

325 

+  1517 

-     978 

+  10 

—  32 

—  15 

—  23 

281 

1556 

307 

326 

1502 

1001 

5 

9 

31 

15 

23 

282 

1565 

276 

16 

327 

1487 

1024 

10 

32 

16 

23 

283 

1575 

244 

328 

1471 

1047 

284 

1584 

9 

212 

32 

329 

1454 

17 

1069 

22 

g 

31 

18 

22 

2S5 

1592 

181 

5 

330 

1436 

1091 

27 

9 

32 

18 

21 

286 

1601 

149 

331 

1418 

1112 

g 

32 

19 

21 

287 

1609 

117 

332 

1399 

1133 

7 

32 

20 

21 

288 

1616 

85 

11 

333 

1379 

1154 

3 

7 

32 

20 

20 

289 

1623 

5:5 

334 

1359 

1174 

7 

32 

2L 

20 

290 

+  1630 

+      21 

6 

335 

+  1338 

-  1194 

291 

1636 

+     6 

-       10 

-  31 

336 

1317 

-  21 

1214 

—  20 

30 

292 

1642 

6 

42 

32 

337 

1295 

22 

1233 

19 

5 

31 

23 

1  0 

293 

1647 

73 

338 

1272 

1252 

iy 

4 

294 

1652 

5 

105 

32 

-     5 

339 

1249 

33 

1270 

18 

295 

1657 

5 

137 

32 

340 

1225 

24 

1288 

18 

296 

1661 

4 

168 

3) 

341 

1201 

24 

1306 

18 

297 

1664 

3 

199 

31 

6 

342 

1176 

25 

1323 

17 

34 

298 

1667 

3 

230 

31 

343 

1150 

26 

1340 

17 

299 

1669 

2 

261 

31 

344 

1124 

26 

135G 

16 

2 

31 

27 

16 

300 

+  1671 

-    292 

+     1 

345 

+  1097 

+  1372 

3 

301" 

1672 

+     1 

322 

—  30 

346 

1070 

—  27 

1388 

-  16 

302 

1673 

+     1 

353 

31 

347 

1042 

28 

1403 

15 

303 

1G73 

0 

383. 

30 

6 

348 

1014 

28 

1418 

15 

37 

304 

1673 

0 

413 

30 

349 

S86 

28 

1433 

15 

305 

1672 

—     1 

443 

30 

350 

957 

29 

1447 

14 

306 

1670 

2 

472 

29 

i 

351 

927 

30 

1460 

13 

3 

307 

1668 

2 

501 

29 

352 

897 

30 

1474 

14 

308 

lees 

3 

530 

29 

353 

867 

30 

1487 

13 

309 

1662 

3 

559 

29 

6 

354 

837 

30 

1499 

12 

40 

4 

29 

31 

12 

310 

+  1658 

-    588 

355 

+    806 

-  1511 

3H 

1653 

—     5 

616 

-  28 

356 

775 

-  31 

1523 

-  12 

+  2 

312 

1648 

5 

644 

28 

-f  13 

357 

743 

32 

1534 

11 

313 

1642 

6 

671 

27 

358 

711 

32 

1545 

11 

314 

1635 

• 

699 

28 

359 

679 

32 

1555 

10 

315 

+  n  ;-.'-; 

—    7 

-    726 

—  27 

+  5 

360 

+    647 

-  32 

-   15(15 

-  10 

+  42 

41 


TABLE    IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  VI. 

Arg. 

? 

Diff. 

„' 

l)iff. 

ff 

Diff. 

Arg. 

9 

Diff. 

n< 

Uiff. 

C' 

Diff. 

0 

0 

0 

-  308 

+  364 

+  9 

180 

+  248 

-  511 

-  9 

5 

331 

—  23 

334 

-  30 

185 

298 

+  50 

489 

+  22 

10 

352 

•21 

305 

29 

8 

190 

346 

48 

463 

26 

8 

15 

370 

18 

275 

30 

195 

392 

46 

431 

31 

20 

386 

16 

245 

30 

6 

200 

435 

43 

395 

36 

6 

25 

400 

14 

214 

31 

205 

474 

39 

354 

41 

30 

412 

12 

184 

30 

5 

210 

509 

35 

308 

46 

5 

35 

422 

10 

153 

31 

215 

540 

31 

259 

49 

40 

431 

9 

122 

31 

3 

220 

565 

25 

206 

53 

3 

45 

438 

7 

91 

31 

225 

585 

20 

151 

56 

5 

31 

14 

58 

50 

-  443 

+     60 

+   1 

230 

+  599 

-     93 

-   1 

55 

447 

—    4 

+     28 

-  32 

235 

606 

+    7 

-     33 

+  60 

60 

449 

2 

—       5 

33 

-   1 

240 

607 

+     1 

+     26 

59 

+   1 

C5 

450 

-    1 

38 

33 

245 

601 

-    6 

86 

60 

70 

449 

+     1 

71 

33 

3 

250 

589 

12 

145 

59 

3 

75 

445 

4 

105 

34 

255 

570 

19 

202 

57 

80 

439 

6 

139 

34 

5 

260 

546 

24 

257 

55 

5 

85 

431 

8 

174 

35 

265 

515 

31 

308 

51 

90 

420 

11 

208 

34 

6 

270 

479 

36 

355 

47 

6 

95 

400 

14 

243 

35 

275 

439 

40 

398 

43 

17 

35 

44 

38 

.    100 

-  389 

-  278 

-  8 

280 

+  395 

+  436 

+  8 

105 

369 

+  20 

311 

-  33 

285 

347 

-  48 

468 

+  32 

110 

346 

23 

344 

33 

9 

290 

297 

50 

495 

27 

9 

115 

320 

26 

376 

32 

295 

240 

51 

515 

20 

120 

291 

29 

406 

30 

10 

300 

193 

53 

530 

15 

10 

125 

258 

33 

434 

28 

305 

140 

53 

539 

9 

130 

222 

36 

459 

25 

11 

310 

88 

52 

543 

+     4 

11 

135 

184 

38 

482 

23 

315 

+     3G 

52 

541 

-    2 

140 

142 

42 

502 

20 

11 

320 

-     13 

49 

535 

6 

11 

145 

98 

44 

518 

16 

325 

GO 

47 

524 

11 

46 

13 

45 

15 

150 

-     52 

-  531 

-11 

330 

-  105 

+  509 

+  11 

155 

4 

+  48 

539 

-    8 

335 

141 

-  42 

490 

-  19 

1GO 

+     45 

49 

543 

-    4 

11 

340 

185 

38 

469 

21 

11 

165 

95 

50 

542 

+     1 

345 

220 

35 

445 

24 

170 

147 

52 

537 

5 

10 

350 

253 

33 

419 

26 

10 

175 

198 

51 

526 

11 

355 

282 

29 

292 

27 

180 

+  248 

+  GO 

-  511 

+  15 

-  9 

360 

-  308 

-  26 

+  3G4 

-  28 

+  9 

6 

42 


TABLE  IV  .—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  VII. 

Arg. 

f 

Diff. 

,' 

Diff. 

f 

Diff. 

Arg. 

a 

s 

Uiff. 

V 

Diff. 

C' 

Diff. 

0 

0 

0 

-  196 

-  464 

+  3 

180 

+  194 

+   404 

-  3 

5 

155 

+  41 

•    480 

-  16 

185 

153 

-  41 

479 

+  15 

11 

43 

12 

10 

112 

491 

3 

190 

110 

491 

3 

43 

8 

43 

7 

15 

69 

499 

195 

67 

498 

20 

-     25 

44 

504 

-    5 

3 

200 

+     23 

44 

502 

+     4 

3 

45 

0 

44 

0 

25 

+     20 

504 

205 

-     21 

502 

44 

+     4 

44 

_     3 

30 

64 

500 

3 

210 

65 

499 

3 

43 

7 

43 

3 

35 

107 

493 

215 

108 

491 

43 

11 

42 

11 

40 

150 

482 

2 

220 

150 

480 

o 

43 

15 

42 

15 

45 

192 

407 

225 

192 

465 

40 

19 

40 

.     18 

50 

+  232 

-  448 

+  2 

230 

-  232 

+  447 

_  O 

55 

270 

+  38 

426 

+  22 

235 

270 

-  38 

425 

-  22 

GO 

307 

37 

401 

25 

2 

240 

306 

36 

400 

25 

2 

65 

341 

•34 

373 

28 

245 

340 

34 

372 

28 

70 

372 

31 

342 

31 

2 

250 

371 

31 

341 

31 

2 

75 

401 

29 

309 

33 

255 

399 

28 

308 

33 

80 

427 

36 

273 

36 

1 

260  . 

425 

26 

272 

36 

1 

85 

449 

22 

234 

39 

265 

447 

22 

934 

38 

90 

468 

19 

194 

40 

+      1 

270 

466 

19 

194 

40 

-   1 

95 

483 

15 

153 

41 

275 

481 

15 

153 

41 

11 

43 

11 

42 

100 

+  494 

-  110 

0 

280 

-  492 

+   111 

0 

105 

502 

+    8 

67 

+  43 

285 

500 

-    8 

68 

-  43 

110 

506 

+    4 

-     23 

44 

0 

290 

505 

-    5 

+     24 

44 

0 

115 

506 

0 

+     21 

44 

295 

505 

0 

-     19 

43 

120 

502 

-    4 

65 

44 

-  1 

300 

501 

+    4 

63 

44 

+   1 

196 

495 

7 

108 

43 

305 

494 

7 

106 

43 

130 

483 

12 

150 

42 

1 

310 

483 

11 

149 

43 

1 

135 

468 

15 

192 

42 

315 

468 

15 

190 

41 

140 

449 

19 

232 

40 

1 

320 

450 

18 

230 

40 

1 

145 

427 

22 

270 

38 

325 

428 

22 

268 

38 

35 

36 

35 

36 

150 

+  402 

+  306 

-  2 

330 

-  403 

-  304 

+  2 

155 

374 

-  38 

340 

+  34 

335 

375 

+  28 

338 

-  34 

160 

342 

32 

371 

31 

2 

340 

344 

31 

369 

31 

2 

165 

308 

34 

399 

38 

345 

310 

34 

398 

29 

170 

272 

36 

424 

35 

2 

350 

274 

36 

423 

25 

2 

175 

234 

38 

446 

22 

355 

2:!G 

38 

446 

23 

180 

+  194 

-  40 

+  464 

+  18 

-     3 

360 

-  196 

+  40 

-  464 

-  18 

+  3 

- 

43 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  VIII. 

Arg. 

f 

Diff. 

¥ 

Diff. 

C' 

Diff. 

Arg. 

e 

Diff. 

t- 

Diff. 

'_ 

Diff. 

0 

0 

+     24 

+  122 

+  8 

180 

-     17 

-   143 

-  8 

5 

30 

+    6, 

120 

-     2 

185 

27 

—  10 

143 

0 

+       1 

10 

37 

^ 

119 

1 

8 

190 

37 

10 

142 

1 

8 

15 

44 

7! 

119 

0 

195 

48 

11 

141 

1 

20 

52 

8 

118 

1 

7 

200 

CO 

12 

139 

2 

7 

25 

61 

9 

117 

1 

205 

73 

13 

136 

3 

30 

70 

9 

115 

2 

6 

210 

80 

13 

132 

G 

35 

81 

11 

112 

3 

215 

99 

13 

126 

6 

40 

92 

U3 

108 

4 

6 

220 

112 

13 

119 

7 

6 

45 

104 

12. 

103 

5 

225 

125 

13 

110 

9 

11 

7 

13 

11 

50 

+   115 

+     9G 

+   5 

230 

-  138 

-     99 

-  5 

55 

127 

+   12 

86 

-  10 

235 

149 

—  11 

86 

+  13 

60 

138 

11 

75 

11 

3 

240 

ICO 

11 

71 

15 

3 

65 

147 

9 

63 

12 

245 

168 

8 

54 

17 

70 

155 

s] 

49 

14 

2 

'250 

175 

7 

37 

17 

2 

•I 

16 

4 

19 

75 

163 

33 

255 

179 

-     18 

80 

166 

4 

+     16 

17 

+   1 

2GO 

180 

—     1 

+        1 

19 

-   1 

85 

168 

+    2 

-       1 

17  • 

205 

178 

+     2 

21 

20 
19 

90 

168 

0 

19 

18 

1 

270 

175 

3 

40 

19 

+   1 

95 

165 

—     3 

36 

17 

275 

168 

7 

59 

5 

17 

8 

17 

100 

+  100 

-     53 

-    2 

280 

-   1GO 

+     76 

-f  2 

105 

153 

-     7 

G9 

-  16 

285 

149 

+  11 

91 

+  15 

110 

144 

9 

84 

15 

3 

290 

136 

13 

105 

14 

3 

115 

134 

10 

97 

13 

295 

122 

14 

116 

11 

120 

123 

11 

108 

11 

5 

300 

107 

15 

125 

9 

5 

125 

110 

13 

117 

9 

305 

92 

15 

131 

6 

13 

g 

15 

5 

130' 

97 

125 

G 

310 

77 

136 

6 

135 

84 

13 

132 

7 

315 

63 

14 

138 

2 

140 

71 

13 

136 

4 

G 

320 

49 

14 

139 

+     1 

6 

12 

3 

13 

145 

59 

139 

325 

36 

138 

12 

3 

12 

1 

150 

+     47 

-  142 

7 

330 

-     24 

+  137 

+   7 

—  12 

+  10 

—     3 

155 

35 

143 

335 

14 

134 

1(10 

24 

11 

143 

0 

8 

340 

-       5 

9 

131 

3 

8 

165 

14 

10 

144 

-    1 

345 

+       3 

8 

128 

3 

1  1 

0 

g 

Q 

170 

+       3 

144 

8 

350 

11 

126 

8 

175 

_       7 

10 

143 

+     1 

355 

17 

6 

124 

2 

o 

+     7 

—    2 

180 

-     17 

-  143 

-  8 

360 

+     24 

+  122 

+  8 

• 

44 


TABLE    IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  IX. 

Arg. 

P 

Diff. 

c 

Difl 

P 

Diff. 

Arg. 

r" 

Diff. 

,' 

Diff. 

f 

Diff. 

0 

0 

+  183 

+     18 

+      1 

0 

180 

-  157 

+     18 

+      1 

5 

180 

+    3 

34 

+  16 

185 

158 

-    l 

+      7 

-  11 

4 

16 

o 

12 

10 

176 

50 

3 

190 

158 

-       5 

0 

16 

-J-     1 

j  j 

15 

170 

66 

195 

157 

16 

7 

15 

2 

12 

20 

163 

81 

5 

200 

155 

28 

-   1 

25 

154 

9 

95 

14 

205 

152 

3 

39 

11 

30 

144 

10 

107 

12 

7 

210 

148 

4 

51 

12 

1) 

11 

19 

5 

35 

133 

119 

215 

143 

G2 

40 

121 

12 

129 

10 

8 

220 

137 

6 

73 

11 

3 

45 

108 

13 

138 

9 

225 

130 

7 

84 

11 

13 

8 

8 

11 

50 

+    95 

+  146 

+    9 

230 

-  122 

-    95 

-    4 

55 

81 

-  14 

153 

+    7 

235 

113 

+    9 

106 

-  11 

60 

66 

15 

158 

5 

10 

240 

103 

10 

116 

10 

G 

14 

4 

12 

g 

65 

52 

162 

245 

91 

125 

15 

3 

12 

70 

37 

165 

11 

250 

79 

133 

7 

75 

22 

15 

166 

+    1 

255 

66 

13 

141 

8 

14 

g 

15 

• 

80 

+      8 

166 

11 

260 

51 

147 

7 

14 

—    1 

15 

C 

85 

-      6 

165 

265 

36 

152 

90 

20 

14 

163 

2 

10 

270 

20 

16 

156 

4 

8 

95 

33 

13 

160 

3 

275 

—      4 

16 

158 

2 

13 

4 

16 

-  1 

100 

-    46 

+  156 

+  10 

280 

+     12 

-  159 

-    8 

105 

58 

-  12 

152 

-    4 

285 

29 

+  17 

159 

0 

110 

70 

12 

146 

6 

9 

290 

46 

17 

156 

+  3 

8 

115 

81 

140 

6 

295 

63 

17 

152  , 

4 

120 

91 

10 

133 

7 

8 

300 

80 

17 

147 

5 

8 

10 

g 

Ifi 

125 

101 

125 

305 

96 

10 

189 

130 

110 

9 

117 

8 

7 

310 

111 

15 

130 

9 

7 

• 

135 

118 

8 

109 

8 

315 

125 

14 

120 

10 

140 

125 

7 

100 

9 

5 

320 

137 

12 

108 

12 

G 

145 

132 

7 

90 

10 

325 

149 

12 

95 

13 

6 

9 

10 

14 

150 

-  138 

+    81 

+    4 

330 

+  159 

-    81 

-     5 

155 

143 

-  5 

71 

-  10 

335 

167 

+    8 

65 

+  16 

160 

147 

4 

61 

10 

3 

340 

174 

7 

49 

16 

3 

165 

151 

4 

50 

11 

345 

179 

5 

33 

16 

170 

154 

3 

40 

10 

2 

350 

182 

3 

-     16 

17 

-     1 

175 

156 

2 

29 

11 

355 

183 

+     1 

+       1 

17 

180 

-  157 

-  1 

+     18 

-11 

+     1 

360 

+  183 

0 

+     18 

+  17 

+     1 

. 

45 


TABLE    IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  X. 

ARGUMENT   XI. 

Arg. 

f 

Diff. 

* 

Diff. 

Arg. 

"' 

Diff. 

¥ 

Diff. 

Arg. 

f 

Diff. 

>/ 

Diff. 

Arg. 

f 

Diff. 

»/' 

Diff. 

o 

O 

O 

o 

0 

5 

-38 
43 

-  5 

+60 
57 

-  3 

180 
185 

+37 
42 

+  5 

-63 
59 

+  4 

0 
5 

-27 
-13 

+14 

-94 
95 

+  l 

180 
185 

+27 
30 

+  3 

+  2 
0 

-  2 

4 

4 

5 

4 

14 

—  l 

2 

3 

10 

47 

53 

190 

47 

25 

10 

+  1 

94 

190 

32 

-  3 

4 

5 

4 

13 

4 

2 

3 

15 

52 

49 

195 

52 

51 

15 

14 

90 

195 

34 

6 

4 

5 

4 

5 

12 

2 

4 

20 

56 

44 

200 

56 

46 

20 

26 

84 

200 

36 

10 

3 

5 

4 

5 

10 

7 

2 

5 

25 

59 

39 

205 

60 

41 

25 

36 

77 

205 

38 

15 

30 

62 

3 

34 

5 

210 

64 

4 

36 

5 

30 

44 

68 

9 

210 

40 

20 

3 

g 

3 

g 

g 

10 

4.  i 

I) 

35 

65 

28 

215 

67 

30 

35 

50 

58 

215 

41 

25 

2 

5 

2 

g 

4 

10 

0 

g 

40 

67 

Q 

23 

g 

220 

69 

Q 

24 

g 

40 

54 

48 

220 

41 

o 

31 

g 

45 

69 

17 

225 

71 

18 

45 

55 

37 

225 

41 

37 

1 

6 

1 

7 

0 

10 

-  1 

7 

50 

-70 

+11 

230 

+72 

-11 

50 

+55 

+27 

230 

+40 

-44 

g 

+  1 

+  6 

—  2 

—  9 

_  3 

—  7 

55 

71 

+  5 

235 

73 

-  5 

55 

53 

18 

235 

37 

51 

o 

g 

o 

g 

3 

g 

3 

g 

60 

71 

-  I 

240 

73 

+  1 

60 

50 

10 

240 

34 

59 

65 

70 

+  1 

7 

6 

245 

73 

0 

8 

7 

65 

45 

5 

+  4 

6 

245 

29 

5 

66 

7 

70 

69 

1 

13 

6 

250 

72 

-  1 

14 

6 

70 

40 

5 

-  2 

6 

250 

22 

7 

72 

6 

1 

g 

2 

g 

g 

4 

g 

g 

75 

68 

19 

255 

70 

20 

75 

34 

6 

255 

14 

78 

2 

g 

2 

g 

g 

2 

9 

4 

80 

66 

25 

260 

.  68 

26 

80 

28 

8 

260 

+  5 

82 

2 

5 

3 

g 

1 

10 

3 

85 

64 

30 

265 

65 

32 

85 

22 

9 

265 

-  5 

85 

3 

3 

g 

g 

11 

—  2 

90 

61 

30 

270 

62 

38 

90 

16 

10 

270 

16 

87 

95 

58 

3 

41 

5 

275 

59 

3 

43 

5 

95 

12 

4 

9 

+  1 

275 

28 

12 

86 

+  1 

4 

5 

4 

5 

4 

2 

13 

2 

100 

-54 

-46 

280 

+55 

+48 

100 

+  8 

-  7 

280 

-41 

-84 

105 

50 

+  4 

50 

-  4 

285 

50 

-  5 

53 

+  5 

105 

5 

-  3 

5 

+  2 

285 

53 

-12 

79 

+  5 

4 

5 

5 

4 

2 

3 

12 

7 

110 

40 

55 

290 

45 

57 

no 

3 

_  o 

290 

65 

72 

5 

3 

4 

—  o 

3 

11 

9 

115 

41 

58 

295 

40 

61 

115 

+  1 

295 

76 

63 

5 

4 

3 

o 

2 

9 

12 

190 

36 

62 

300 

34 

64 

120 

1 

3 

300 

85 

51 

125 

30 

6 

65 

3 

305 

28 

6 

66 

3 

125 

2 

+  1 

5 

2 

305 

92 

7 

38 

13 

2 

6 

2 

g 

14 

130 

25 

67 

310 

oo 

68 

130 

3 

7 

310 

98 

24 

6 

2 

6 

2 

2 

2 

3 

15 

135 

19 

69 

315 

16 

70 

135 

5 

9 

315 

101 

-  9 

111) 

13 

6 

71 

2 

320 

10 

6 

71 

1 

140 

7 

2 

10 

+  1 

320 

102 

-  1 

+  7 

16 

145 

-  6 

7 

72 

"  ' 

325 

+  4 

6 

72 

+  1 

145 

9 

2 

10 

0 

325 

100 

+  2 

23 

16 

6 

0 

6 

0 

3 

0 

5 

15 

150 

0 

+72 

330 

_  2 

+72 

150 

+12 

+10 

330 

-95 

+38 

155 

+  6 

-f-  c 

72 

0 

335 

9 

-  7 

71 

-  1 

155 

14 

+  2 

10 

0 

335 

88 

+  7 

52 

+14 

4.  i 

g 

1 

3 

9 

13 

160 

13 

71 

340 

15 

70 

160 

17 

9 

340 

79 

65 

Q 

1 

g 

2 

3 

1 

11 

11 

165 

19 

70 

345 

21 

68 

165 

20 

8 

345 

68 

76 

170 

25 

6 

68 

2 

350 

27 

6 

66 

2 

170 

22 

2 

6 

2 

350 

55 

13 

85 

9 

Q 

3 

5 

3 

3 

2 

14 

175 

31 

65 

355 

32 

63 

175 

25 

4 

355 

41 

91 

180 

+37 

+  6 

-63 

+  2 

360 

-38 

-  6 

+00 

-  3 

180 

+27 

+  2 

+  2 

-  2 

360 

-27 

+  14 

+94 

+  3 

46 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  XII. 

ARGUMENT  XIII. 

ARGUMENT  XIV.    . 

Arg. 

f 

Diff. 

I1 

Diff. 

Arg. 

cl 

s 

Diff. 

n< 

Diff. 

Arg. 

? 

Diff. 

'I1 

Diff. 

0 

0 

+    3 

+  12 

0 

0 

+  13 

+  12 

0 

0 

+    3 

+  23 

10 

-    4 

—  7 

11 

-  l 

10 

10 

-  3 

14 

+  2 

10 

I 

+  4 

23 

0 

20 

9 

5 

7 

4 

20 

8 

2 

16 

1 

20 

10 

3 

23 

0 

30 

12 

3 

+    1 

6 

30 

5 

3 

16 

1 

30 

14 

4 

22 

-  1 

40 

13 

—  1 

-    5 

6 

40 

+    2 

3 

17 

+  1 

40 

17 

3 

20 

2 

50  . 

11 

+  2 

11 

6 

50 

-    1 

3 

17 

0 

50 

19 

2 

17 

3 

CO 

7 

4 

15 

4 

60 

4 

3 

1C 

-  1 

CO 

21 

2 

U 

3 

70 

-     1 

6 

18 

—  3 

70 

7 

3 

15 

1 

70 

23 

+  2 

10 

4 

80 

+    5 

6 

18 

0 

80 

9 

2 

13 

2 

80 

23 

0 

6 

4 

90 

11 

6 

16 

+  2 

90 

11 

2 

12 

1 

90 

23 

0 

+    2 

4 

6 

J-  4 

2 

2 

-  1 

5 

100 

+  17 

-  12 

100 

-  13 

+  10 

100 

+  22 

-    3 

110 

21 

+  4 

-    7 

5 

110 

14 

-  1 

7 

-  3 

110 

20 

-  2 

T 

-  4 

120 

22 

+  1 

0 

7 

120 

15 

1 

5 

2 

120 

18 

2 

11 

4 

130 

22 

0 

+      7 

7 

130 

16 

—  J 

+    2 

3 

130 

15 

3 

14 

3 

140 

20 

—  2 

14 

7 

140 

J6 

0 

0 

2 

140 

11 

4 

17 

3 

150 

16 

4 

20 

6 

150 

16 

.   0 

3 

3 

150 

7 

4 

20 

3 

160 

10 

6 

24 

4 

ICO 

15 

+  1 

5 

2 

ICO 

+    3 

4 

22 

2 

170 

+    4 

6 

27 

3 

170 

14 

1 

8 

3 

170 

-    1 

4 

23 

-  1 

180 

-    3 

7 

28 

+  1 

180 

13 

1 

10 

2 

180 

5 

4 

23 

0 

190 

10 

7 

27 

—  1 

190 

11 

2 

12 

2 

190 

9 

4 

23 

0 

7 

3 

2 

2 

4 

+  1 

200 

-  17 

+  24 

200 

-    9 

14 

200 

-  13 

-  22 

210 

22 

—  5 

18 

—  6  - 

210 

6 

+  3 

15 

—  1 

210 

16 

-  3 

20 

+  2 

220 

26 

4 

12 

6 

220 

4 

2 

1C 

1 

220 

18 

2 

18 

2 

230 

28 

—  2 

+    4 

8 

230 

-    1 

3 

17 

-  1 

230 

20 

2 

15 

3 

240 

28 

0 

-    5 

9 

240 

+    2 

3 

17 

0 

240 

21 

1 

12 

3 

250 

25 

+  3 

13 

8 

250 

5 

3 

17 

0 

250 

22 

-  1 

9 

3 

260 

19 

G 

19 

6 

260 

8 

3 

16 

+  1 

2GO 

22 

0 

5 

4 

270 

12 

7 

23 

4 

270 

11 

3 

14 

2 

270 

21 

+  1 

-    2 

3 

280 

-    3 

9 

25 

—  2 

280 

13 

2 

12 

2 

280 

20 

1 

+    2 

4 

290 

+    5 

8 

24 

+  1 

290 

15 

2 

9 

3 

290 

18 

2 

6 

4 

7 

4 

2 

3 

2 

3 

300 
310 

+  12 
17 

+  5 

-20 
14 

+  6 

300 
310 

+  17 
18 

+  1 

-    6 
-    3 

+  3 

300 
310 

-  16 
13 

+  3 

+    9 
13 

+  4 

320 

19 

+  2 

-     7 

7 

320 

18 

0 

0 

3 

320 

10 

3 

16 

3 

330 

18 

—  1 

0 

7 

330 

18 

0 

+    4 

4 

330 

7 

3 

19 

3 

340 

15 

3 

+  c 

6 

340 

17 

—  1 

7 

3 

340 

-    4 

3 

21 

2 

350 

10 

5 

10 

4 

350 

15 

2 

10 

3 

350 

0 

4 

22 

1 

360 

+    3 

—  7 

+  12 

+  2 

SCO 

+  13 

+  12 

+  2 

360 

+    3 

+  3 

+  23 

+  1 

47 


TABLE    I  V  .—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  XV. 

ARGUMENT  XVI. 

Arg. 

k' 

Diff. 

n1 

Diff. 

* 

Diff. 

Arg. 

* 

Did. 

."' 

Uiff. 

* 

Diff- 

0 

0 

-  368 

-1498 

-      1 

0 

0 

+  196 

-  347 

0 

5 

498 

-130 

1401 

+  37 

5 

225 

+  29 

328 

+  19 

10 

623 

125 

1412 

49 

1 

10 

253 

28 

307 

21 

15 

744 

121 

1352 

60 

15 

279 

26 

284 

23 

20 

859 

115 

1283 

69 

1 

20 

303 

24 

259 

25 

25 

908 

109 

1203 

80 

25 

324 

21 

231 

28 

30 

1009 

101 

1114 

89 

1 

30 

343 

19 

202 

29 

35 

1163 

94 

1017 

97 

35 

359 

16 

172 

30 

40 

1247 

84 

912 

105 

-      1 

40 

373 

14 

140 

32 

45 

1322 

75 

800 

112 

45 

384 

11 

107 

33 

65 

118 

8 

34 

50 

-1387 

-  082 

0 

50 

+  392 

-    73 

0 

55 

1441 

-  54 

559 

+123 

55 

396 

+    4 

38 

+  35 

60 

1484 

43 

431 

128 

0 

GO 

398 

+     2 

-      4 

34 

65 

1510 

32 

300 

131 

05 

397 

-     1 

+    31 

35 

70 

1537 

21 

107 

133 

0 

70 

393 

4 

05 

34 

75 

1545 

—    8 

-    33 

134 

75 

386 

7 

99 

34 

80 

1542 

+    3 

+  101 

134 

0 

80 

376 

10 

133 

34 

85 

1528 

14 

235 

134 

85 

363 

13 

105 

32 

90 

1501 

27 

3G7 

132 

+    1 

90 

347 

16 

196 

31 

95 

1403 

38 

490 

129 

95 

328 

19 

225 

29 

48 

126 

21 

28 

100 

-1415 

+  022 

+   1 

100 

+  307 

+  253 

0 

105 

1355 

+  60 

743 

+121 

105 

284 

-  23 

279 

+  26 

110 

12s>5 

70 

858 

115 

1 

110 

259 

25 

303 

24 

115 

1205 

80 

9GG 

108 

115 

231 

28 

324 

21 

120 

1110 

89 

1007 

101 

1 

120 

202 

29 

343 

19 

125 

1018 

98 

1100 

93 

125 

171 

31 

359 

16 

130 

913 

105 

1245 

85 

1 

130 

139 

32 

373 

14 

135 

801 

112 

1319 

74 

135 

106 

33 

384 

11 

140 

G83 

118 

1334 

65 

1 

J40 

73 

33 

392" 

8 

145 

559 

124 

1438 

54 

145 

38 

35 

396 

4 

127 

43 

35 

+    2 

150 
155 

-  432 

301 

+131 

+1481 
1513 

+  32 

+    2 

150 
155 

+      3 
-    31 

-  34 

+  398 
397 

-    1 

0 

160 

1G7 

134 

1534 

21 

2 

100 

GO 

35 

393 

4 

105 

-    33 

134 

1542 

+     8 

105 

100 

34 

385 

8 

170 

+  102 

135 

1540 

-    2 

1 

170 

133 

33 

375 

10 

175 

236 

134 

1525 

15 

175 

105 

32 

302 

13 

180 

+  308 

+132 

+1498 

—  27 

+     1 

180 

-  190 

-  31 

+  347 

-  15 

0 

From  the  Arguments  >  180°  subtract  180°,  and  reverse  the  sign  off,  7',  f. 

48 


TABLE    IV  .—Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  XVII. 

ARGUMENT  XVIII. 

Arg. 

? 

Diff. 

rf 

Diff. 

f 

Diff. 

Arg. 

•5 

Diff. 

„' 

Diff. 

P 

Diff. 

0 

0 

0 

-    41 

-  166 

0 

0 

+    40 

-  105 

_     j 

5 

55 

-  14 

162 

+   4 

10 

21 

-  19 

110 

-     5 

14 

Q 

20 

10 

69 

15G 

20 

+      1 

112 

~ 

1 

15 

82 

13 

150 

6 

30 

-     18 

19 

111 

+     1 

20 

95 

13 

142 

8 

40 

37 

19 

10G 

5 

1 

25 

107 

12 

133 

9 

50 

55 

18 

98 

8 

30 

118 

11 

123 

10 

60 

71 

16 

87 

11 

1 

35 

129 

.    11 

113 

10 

70 

85 

14 

73 

14 

40 

138 

9 

101 

12 

80 

97 

12 

57 

16 

1 

Q 

12 

45 

146 

89 

90 

105 

40 

17 

7 

13 

5 

19 

50 

-  153 

-    76 

0 

100 

-  110 

-    21 

-     1 

55 

159 

-    6 

62 

+  14 

110 

112 

-    2 

-      1 

4-  20 

60 

164 

5 

'  48 

14 

120 

111 

+     1 

+     18 

19 

0 

65 

168 

4 

33 

15 

130 

106 

5 

37 

19 

70 

170 

2 

19 

14 

140 

98 

8 

55 

18 

0 

75 

171 

—     1 

-      4 

15 

150 

87 

11 

71 

1G 

80 

170 

+     1 

+    11 

15 

160 

73 

14 

85 

14 

o 

85 

169 

1 

26 

15 

170 

57 

16 

96 

11 

90 

166 

3 

40 

14 

180 

-     40 

+  17 

+  105 

+     9 

+    1 

95 

1-62 

4 

55 

IS 

100 

-  157 

5 

+    69 

14 

0 

ARGUMENT  XIX. 

1  flK 

i  f^n 

+     7 

Ofl 

+  13 

lUo 
110 

loU 
142 

8 

82 
95 

13 

Arg. 

f 

Diff. 

9* 

Diff. 

, 

Diff. 

115 

133 

107 

12 

120 

124 

9 

118 

11 

125 

113 

11 
12 

128 

10 
10 

o 

0 

+  102 

+    G2 

_       9 

130 

101 

138 

10 

90 

-  12 

79 

-  17 

135 

89 

i  'i 

146 

8 

20 

75 

15 

93 

14 

2 

140 

76 

10 
14 

153 

7 

30 

58 

17 

104 

11 

145 

62 

159 

40 

40 

18 

112 

8 

2 

14 

5 

50 

+    20 

20 

117 

5 

150 
155 

-    48 
33 

+  15 
14 

+  1G4 
168 

+    4 

0 

60 
70 

-      1 

21 

21 
20 

118 
115 

-    1 
+    3 

2 

160 

19 

15 

170 

+         1 

80 

41 

20 

109 

G 

2 

165 

-      4 

15 

171 

1 

90 

60 

19 

100 

9 

170 

+    11 

15 

170 

~~         1 
1 

17 

12 

175 

26 

+  1  1 

169 

100 

-    77 

-    88 

-     1 

180 

+    41 

10 

+  166 

—    3 

0 

110 

91 

-  14 

73 

+  15 

190 

i  fli 

12 

KK 

18 

JUMJ 

130 

lUo 

111 

8 

DO 

37 

18 

140 

116 

5 

-    17 

20 

+    1 

150 

118 

—    2 

+      4 

21 

+    2 

20 

160 

116 

24 

1 

170 

111 

5 

44 

20 

180 

-  102 

+    9 

+    62 

+  18 

+    2 

From  the  Arguments  >  180°  subtract  180°,  and  reverse  the  sign  of  f,  ?>',  f. 

49 


TABLE    IV.—  Continued. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT  XX. 

ARGUMENT  XXII. 

Arg. 

f 

Diff. 

V 

Diff. 

f 

Diff. 

Arg. 

s 

Diff. 

n 

Diff. 

* 

Diff. 

o 

O 

0 

+  22 

-  42 

0 

0 

-  26 

-  J8 

0 

10 

29 

+  7 

'  38 

+  4 

JO 

28 

-  2 

13 

+  5 

20 

36 

7 

32 

6 

20 

30 

—  2 

8 

5 

30 

41 

5 

25 

7 

30 

30 

0 

-    3 

5 

40 

44 

3 

18 

7 

40 

30 

0 

+    3 

6 

3 

g 

-(.  i 

5 

50 

47 

10 

50 

29 

8 

_j.  i 

9 

2 

5 

60 

48 

-    2 

60 

27 

13 

70 

48 

0 

+    6 

8 

70 

24 

3 

18 

5 

80 

46 

-  2 

14 

8 

80 

20 

4 

22 

4 

90 

42 

4 

22 

8 

90 

16 

4 

26 

4 

4 

7 

5 

2 

100 

+  38 

+  29 

0 

100 

-  11 

+  28 

0 

110 

32 

-  6 

35 

+  6 

110 

-    6 

+  5 

30 

+  2 

120 

25 

7 

40 

5 

120 

0 

6 

31 

+  1 

130 

18 

7 

44 

4 

130 

+    5 

5 

31 

0 

140 

10 

8 

46 

2 

140 

10 

5 

30 

-  1 

g 

jf.  i 

5 

2 

150 

+    2 

47 

150 

15 

28 

160 

-    7 

9 

47 

0 

160 

19 

4 

26 

2 

170 

15 

8 

45 

-  2 

170 

23 

4 

22 

4 

_  3 

+  3 

—  4 

180 

-  22 

+  42 

0 

180 

+  26 

+  18 

0 

ARGUMENT  XXI. 

ARGUMENT  XXIII. 

Arg. 

£1 

Diff. 

I1 

Diff. 

f 

Diff. 

Arg. 

t 

Diff. 

,< 

Diff. 

e 

Diff. 

O 

0 

-  13 

+    I 

+    4 

O 

0 

-    G 

+  67 

0 

10 

-    4 

+  9 

-  11 

-  12 

10 

+    6 

+  12 

68 

+  1 

9 

13 

12 

2 

20 

+    5 

24 

3 

20 

18 

66 

10 

11 

11 

4 

30 

15 

35 

30 

29 

62 

9 

11 

10 

40 

24 

46 

+     1 

40 

39 

56 

g 

g 

g 

g 

50 

32 

55 

50 

48 

48 

60 

39 

7 

63 

8 

-    1 

60 

56 

8 

39 

9 

Q 

5 

Q 

10 

70 

45 

68 

70 

62 

29 

80 

50 

5 

72 

4 

3 

80 

66 

4 

18 

11 

90 

53 

3 

73 

~    l 

90 

68 

+    2 

+    7 

11 

+  1 

+    1 

0 

12 

100 

+  54 

-  72 

-    5 

100 

+  68 

-    5 

0 

110 

54 

0 

69 

+     3 

110 

66 

-    2 

17 

-12 

2 

5 

4 

120 

52 

64 

6 

120 

62 

28 

130 

49 

3 

57 

7 

130 

56 

6 

38 

10 

140 

44 

5 

48 

9 

6 

140 

48 

8 

47 

9 

g 

10 

g 

150 

38 

38 

150 

39 

55 

g 

12 

jl 

160 

30 

26 

5 

160 

28 

61 

g 

12 

11 

170 

22 

14 

170 

17 

65 

180 

+  13 

-  9 

-    1 

+  13 

-    4 

180 

+    6 

-  11 

-  67 

-  2 

0 

From  the  Arguments  ^>  180°  subtract  180°,  and  reverse  the  sign  of  f,  i/',  f  . 

7 

50 


TABLE    IV  .  —Concluded. 

PERTURBATIONS  OF  THE  CO-ORDINATES  IN  UNITS  OF  THE  SIXTH  DECIMAL. 

ARGUMENT    XXIV. 

ARGUMENT  XXVII. 

ARGUMENT    XXX. 

Arg. 

f 

I1 

f 

Arg. 

f 

•»' 

? 

Arg.              f                 ,,'                 f 

o 
0 

+  )7 

-  20 

-  1 

o 
0 

+    1 

+  17 

0 

0           -  5             -  6               0 

20 

18 

24 

2 

20 

7 

15 

20-7                 4 

40 

17 

26 

3 

40 

12 

12 

40               8             -  1 

60 

14 

25 

3 

60 

15 

7 

60               8             +2 

80 

10 

20 

4 

80 

17 

+    2 

80               7                 4 

100 

+    4 

13 

3 

100 

16 

-    4 

100               5                 6 

120 

-    2 

-    5 

2 

120 

14 

9 

120-3                 8 

140 

8 

+    4 

-  1 

140 

10 

14 

140               0                 8 

160 

13 

13 

0 

160 

+    5 

16 

160+3                 7 

180 

-  17 

+  20 

+  1 

180 

-     1 

+  17 

0 

180           +5             +  (i               0 

ARGUMENT  XXV. 

ARGUMENT  XXVIII. 

Arg. 

f 

I1 

f 

Arg. 

e 

'/ 

P 

0 

0 

+     5 

+    5 

+  1 

o 
0 

-    4 

-  10 

0 

20 

11 

8 

1 

20 

0 

11 

40 

15 

9 

1 

40 

+    3 

10 

60 

17 

9 

+  1 

60 

7 

8 

80 

17 

8 

0 

80 

9 

6 

100 

15 

6 

0 

100 

11 

-    2 

120 

12 

4 

-  1 

120 

11 

+    2 

140 

7 

+    1 

1 

140 

9 

5 

160 

4      1 

-    3 

1 

160 

7 

8 

180 

-    5 

-    5 

-  1 

180 

+    4 

+  10 

0 

ARGUMENT   XXVI. 

ARGUMENT   XXIX. 

Arg. 

e 

I1 

p 

Arg. 

e 

I1 

f 

o 
0 

-  i 

-  23 

0 

o 
0 

-    5 

+    8 

0 

20 

9 

21 

20 

7 

6 

40 

J5 

17 

40 

9 

+    3 

60 

20 

11 

60 

9 

0 

80 

23 

-    3 

80 

8 

-    3 

100 

22 

+    5 

100 

7 

6 

120 

19 

12 

120 

4 

8 

. 

140 

14 

18 

140 

-    1 

9 

160 

-    7 

22 

160 

+    2 

9 

180 

+    1 

•f  23 

0 

180 

+    5 

-    8 

0 

From  the  Arguments  >  180°  subtract  180°,  and  reverse  the  sign  off',  >/,  f. 

51 


TABLE  V. 

LOGARITHMS  FOR  REFERRING  THE  PERTURBATIONS  TO  THE  EQUATOR. 

Mean  Equinox  of  the  beginning  of  the  Year. 

Year. 

COS  (Zi  Z) 

COS  (I/!  Z) 

cos  (ZL  z) 

cos  (xi  y) 

cos  (y,  y) 

cos  (z,  y) 

COS  (Xi  Z) 

cos  (yl  z) 

COS  (Zi  Z) 

1850 

9.862239 

9.833908 

8.820053 

9.793784W 

9.844007 

9.549470ft 

9.459233« 

9.336366 

9.969772 

1851 

9.862338 

9.833796 

8.819976 

9.79367  In 

9.844102 

9.549452ft 

9.459126« 

9.336499 

9.969774 

1852  B 

9.862437 

9.833683 

8.819899 

9.793557« 

9.844196 

9.549434W 

9.4590207* 

9.336631 

9.969777 

1853 

9.862536 

9.833571 

8.819823 

9.793444W 

9.844290 

9.549416ft 

9.45891371 

9.336764 

9.969780 

1854 

9.862G35 

9.833458 

8.819746 

9.793330W 

9.844384 

9.549398ft 

9.458806ft 

9.336896 

9.969783 

1855 

9.862734 

9.833346 

8.819669 

9.793217W 

9.844479 

9.54938071 

9.458700ft 

9.337029 

9.969786 

18565 

9.862833 

9.833233 

8.819592 

9.7931037? 

9.844573 

9.549362M 

9.45859371 

9.337161 

9.969789 

1857 

9.862932 

9.833120 

8.819515 

9.792990W 

9.844667 

9.549344» 

9.458486ft 

9.337293 

9.969792 

1858 

9.863031 

9.833007 

8.819438 

9.792876/Z 

9.844761 

9.549326W 

9.45837971 

9.337425 

9.969795 

1859 

9.863130 

9.832896 

8.819362 

9.792763W 

9.844855 

9.549308« 

9.45827271 

9.337557 

9.969798 

1860  B 

9.863229 

9.832781 

8.819285 

9.792649W 

9.844949 

9.549290M 

9.45816571 

9.337689 

9.969801 

1861 

9.863328 

9.832668 

8.819208 

9.792535W 

9.845043 

9.549272?l 

9.458058ft 

9.337821 

9.969804 

1662 

9.863426 

9.832555 

8.819131 

9.792421W 

9.845137 

9.549254tt 

9.457951ft 

9.337952 

9.969807 

J8G3 

9.863525 

9.832442 

8.819054 

9.792307W 

9.845231 

9.549236M 

9.45784471 

9.338084 

9.969810 

18645 

9.863624 

9.832329 

8.818977 

9.792193W 

9.845325 

9.549218U 

9.457737ft 

9.338216 

9.969813 

1865 

9.863722 

9.832216 

8.818900 

9.792079W 

9.845419 

9.549200ra 

9.457630ft 

9.338348 

9.969816 

1866 

9.863820 

9.832103 

8.818823 

9.791965W 

9.845512 

9.549183W 

9.457522n 

9.338479 

9.969819 

1867 

9.863918 

9.831990 

8.818747 

9.791851M 

9.845606 

9.549162W 

9.457415ra 

9.338611 

9.969822 

18685 

9.864016 

9.831876 

8.818670 

9.791737W 

9.845700 

9.549142W 

9.45730771 

9.338742 

9.9C9825 

1869 

9.864114 

9.831763 

8.818593 

9.791623W 

9.845794 

9.549126?l 

9.45720071 

9.338873 

9.969828 

1870 

9.864213 

9.831649 

8.818516 

9.791508W 

9.845887 

9.549111ft 

9.457092ra 

9.339004 

9.969831 

1871 

9.864311 

9.831536 

8.818440 

9.791393« 

9.845981 

9.549093M 

9.45698571 

9.339135 

9.969834 

18725 

9.864409 

9.831422 

8.818363 

9.791279W 

9.846074 

9.  549075« 

9.456877ft 

9.339266 

9.969837 

1873 

9.864507 

9.831309 

8.818286 

9.791  165w 

9.846168 

9.549057« 

9.456769n 

9.339397 

9.969840 

1874 

9.864606 

9.831195 

8.818209 

9.791050« 

9.846261 

9.54903971 

9.456661ft 

9.339527 

9.969843 

1875 

9.864704 

9.831081 

8.818133 

9.790936W 

9.846355 

9.549021  M 

9.456553ft 

9.339658 

9.969846 

18765 

9.864802 

9.830967 

8.818056 

9.790821  n 

9.846448 

9.5490037J 

9.456445?! 

9.339788 

9.969849 

1877 

9.864900 

9.830853 

8.817979 

9.790706« 

9.846541 

9.54898571 

9.456337ft 

9.339919 

9.969852 

1878 

9.864999 

9.830739 

8.817902 

9.790591W 

9.846G34 

9.5489677J 

9.456229ft 

9.340049 

9.969855 

1879 

9.865097 

9.830625 

8.817825 

9.790477/t 

9.846728 

9.548949?( 

9.456I21M 

9.340180 

9.969858 

18805 

9.865195 

9.830511 

8.817748 

9.790362/1 

9.846821 

9.548931?i 

9.45601  3« 

9.340310 

9.969861 

1881 

9.865293 

9.830397 

8.817672 

9.790247;* 

9.846914 

9.54891371 

9.45590571 

9.340440 

9.969864 

1882 

9.865390 

9.830283 

8.817594 

9.790132« 

9.847007 

9.548896?! 

9.45579771 

9.340570 

9.969867 

1883 

9.865487 

9.830169 

8.817517 

9.790017M 

9.847100 

9.548878?i 

9.455689ft 

9.340700 

9.969869 

18845 

9.865585 

9.830055 

8.817440 

9.789902« 

9.847193 

9.54886071 

9.45558)71 

9.340830 

9.969872 

1885 

9.865682 

9.829941 

8.817363 

9.789787-W 

9.847286 

9.5488427t 

9.455473W 

9.340960 

9.969875 

1886 

9.865780 

9.829826 

8.817285 

9.789672« 

9.847379 

9.54882571 

'  9.455364ft 

9.341090 

9.969878 

1887 

9.865877 

9.829712 

8.817208 

9.789557W 

9.847472 

9.54880771 

9.455256re 

9.341220 

9.969881 

18885 

9.865975 

9.829597 

8.817130 

9.789442W 

9.847565 

9.548789» 

9.455148ft 

9.341350 

9.969884 

1889 

9.866072 

9.829483 

8.817053 

9.789327« 

9.847658 

9.54877171 

9.455040ft 

9.341480 

9.969887 

1890 

9.866170 

9.829368 

8.816975 

9.78921  In 

9.847750 

9.548754ra 

9.454931ft 

9.341609 

9.969890 

1891 

9.866267 

9.829253 

8.816898 

9.789096W 

9.847843 

9.548736?i 

9.454823ft 

9.341739 

9.969893 

18925 

9.866365 

9.829139 

8.816820 

9.788980W 

9.847935 

9.548718M 

9.454714w 

9.341868 

9.969896 

1893 

9.866462 

9.829025 

8.816743 

9.788865W 

9.848028 

9.548700?! 

9.45460671 

9.341998 

9.969849 

1894 

9.866559 

9.828910 

8.8166G5 

9.788749/z 

9.848120 

9.548C83rt 

9.45449771 

9.342127 

9.969902 

1895 

9.866650 

9.828796 

8.816588 

9.788634/z 

9.848213 

9.54866571 

9.454389ft 

9.342257 

9.969905 

18965 

9.866754 

9.828681 

8.816510 

9.788518W 

9.848305 

9.54864771 

9.454280ra 

9.342386 

9.969908 

1897 

9.8G6851 

9.828566 

8.816433 

9.788402« 

9.848398 

9.548629?! 

9.454172ft 

9.342515 

9.969911 

1896 

9.866948 

9.828451 

8.816355 

9.788286/z 

9.848490 

9.548612« 

9.45406371 

9.342644 

9.969914 

1699 

9.867045 

9.828386 

8.816278 

9.788170/1 

9.848583 

9.54859471 

9.453958ra 

9.342774 

9.969917 

19005 

9.867143 

9.828221 

8.816200 

9.78.S034/). 

9.848675 

9.54857671 

9.453849ft 

9.342903 

9.969920 

52 


TABLE  VI. 

CONSTANTS  FOR  THE  EQUATOR. 

Equator  and  mean  Equinox  at  the  beginning  of  the  Year. 

Year. 

A' 

B1 

(? 

log  sin  a 

log  sin  b 

log  sin  c 

0    1    II 

a   1   II 

0     /    // 

1850 

46  52  2.4 

318  18  19.9 

307  0  4.4 

9.999061 

9.970859 

9.556891 

I8&1 

46  52  52.5 

318  19  8.8 

307  0  58.9 

9.999051 

9.970861 

9.556871 

18525 

46  53  42.8 

318  19  57.9 

307  1  53.6 

9.999051 

9.970864 

9.556851 

1853 

46  54  33.0 

318  20  46.8 

307  2  48.1 

9.999052 

9.970866 

9.566831 

1854 

46  55  23.1 

318  21  35.8 

307  3  42.7 

9.999052 

9.970869 

9.556811 

is:,:, 

46  56  13.2 

318  24  24.7 

307  4  37.2 

9.999052 

9.970871 

9.556791 

18565 

46  57  3.5 

318  23  13.8 

307  5  31.9 

9.999053 

9.970874 

9.556771 

1857 

46  57  53.7 

318  24  2.7 

307  6  26.5 

9.999053 

'.I.K70876 

9.556751 

1858 

46  58  43.8 

318  24  51.7 

307  7  21.0 

9.999053 

9.970879 

9.556731 

1859 

46  59  34.0 

318  25  40.6 

307  8  15.6 

9.999053 

9.970881 

9.556711 

18605 

47  0  24.2 

318  26  29.7 

307  9  10.3 

9.999053 

9.970884 

9.556691 

18<il 

47  1  14.4 

318  27  18.6 

307  10  4.8 

9.999054 

9.970886 

9.556671 

1862 

47  2  4.5 

318  28  7.6 

307  10  59.4 

9.999054 

9.970889 

9.556G51 

18C3 

47  2  54.6 

318  28  56.5 

307  11  54.0 

9.999054 

9.970891 

9.556631 

1864  B 

47  3  44.9 

318  29  45.6 

307  12  48.7 

9.999054 

9.970894 

9.556611 

1865 

47  4  35.0 

318  30  34.6 

307  13  43.3 

9.999055 

9.970897 

9.556591 

1666 

47  5  25.2 

318  31  23.5 

307  14  37.9 

9.999055 

0.970900 

9.55G572 

1867 

47  6  17.3 

318  32  12.4 

307  15  32.5 

9.999055 

9.970902 

9.556552 

18685 

47  7  7.6 

318  33  1.5 

307  16  27.2 

9.999055 

9.970906 

9.556532 

1869 

47  7  57.7 

318  33  50.5 

307  17  21.8 

9.99905C 

9.970908 

9.55G512 

1870 

47  8  45.9 

318  34  39.4 

307  18  16.4 

9.999056 

9.970910 

9.556492 

1871 

47  9  36.0 

318  25  28.4 

307  19  11.0 

9.999056 

9.970912 

9.556472 

18725 

47  10  26.2 

318  36  17.5 

307  20  5.8 

9.999056 

9.970915 

9.55G452 

1873 

47  11  16.4 

318  37  6.4 

307  21  0.4 

9.999057 

9.970917 

9.556432 

1874 

47  12  6.5 

318  37  55.4 

307  21  55.0 

9.999057 

9.970920 

9.556413 

1875 

47  12  56.6 

318  38  44.4 

307  22  49.6 

9.999057 

9.970922 

9.556393 

18765 

47  13  46.9 

318  39  33.5 

307  23  44.3 

9.999057 

9.970925 

9.556373 

1877 

47  14  37.0 

318  40  2-'.4 

307  24  39.0 

9.999058 

9.970928 

9  556353 

1878 

47  15  27.2 

318  41  11.4 

307  25  33.6 

9.999058 

9.970930 

9.556333 

1879 

47  16  17.3 

318  42  0.4 

307  26  18.2 

9.999058 

9.970933 

9.556313 

18805 

47  17  7.5 

318  42  49.4 

307  27  12.9 

9.999059 

9.970935 

9.556293 

1881 

47  17  57.7 

318  43  38.4 

307  28  7.5 

9.999059 

9.970938 

9.556273 

1883 

47  18  47.8 

318  44  27.4 

307  29  12.2 

9.999060 

9.970941 

9.556254 

1883 

47  19  37.9 

318  45  16.4 

307  30  6.8 

9.999060 

9.970943 

9.556234 

18845 

47  20  28.2 

318  46  5.5 

307  31   1.6 

9.999060 

9.970946 

9.556214 

1885 

47  21  18.3 

318  46  54.4 

307  31  56.2 

9.999061 

9.970948 

9.556194 

1886 

47  22  8.4 

318  47  43.4 

307  32  50.9 

9.9990G1 

9.970954 

9.556175 

1887 

47  22  58.5 

318  48  32.4 

307  33  45.5 

9.999061 

9.970953 

9.556155 

18885 

47  23  48.8 

318  49  21.5 

307  34  40.3 

9.999062 

9.970956 

9.55G135 

1889 

47  24  38.9 

318  50  10.5 

307  35  34.9 

9.999062 

9.970958 

9.556115 

1890 

47  25  29.0 

318  50  59.5 

307  36  29.5 

9.999063 

9.970961 

9.556096 

1891 

47  26  19.1 

318  51  48.4 

307  37  24.2 

9.999063 

9.970963 

9.556076 

18925 

47  27  9.4 

318  52  37.5 

307  38  19.0 

9.999064 

9.970966 

9.556056 

1893 

47  27  59.5 

318  53  2G.5 

307  39  13.6 

9.999064 

9.970968 

9.556036 

1894 

47  28  49.6 

318  54  15.5 

307  40  8.3 

9.999065 

9.970971 

9.556017 

1895 

47  29  39.7 

318  55  45 

307  41  2.9 

9.999065 

9.970974 

9.555997 

18965 

47  30  30.0 

318  55  53.6 

307  41  57.7 

9.999066 

9.97097G 

9.555977 

1897 

47  31  20.1 

318  5G  42.6 

307  42  51.3 

9.999066 

9.970979 

9.555957 

1898 

47  32  10.2 

318  57  31.  G 

307  43  47.0 

9.999067 

9.970982 

9.555933 

1899 

47  33  0.3 

318  58  20.6 

307  44  41.6 

9.999067 

9.970985 

9.555918 

19005 

47  33  50.5 

318  59  9.7 

307  45  36.4 

9.999008 

9.970987 

9.555898 

P3§4 


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